Green began the 2018-19 season in Memphis, where he started his first two games before being forced to miss the next 12 contests with a broken jaw. He returned as a key player in the Grizzlies' bench rotation and averaged 11.7 points and 6.9 rebounds per game over the next 15 matchups. The forward had an outstanding performance on Jan. 12, when he went for season-highs in both points (24) and rebounds (11). Less than a month later, Green was traded to the Clippers, along with teammate Garrett Temple, in exchange for veteran guard Avery Bradley. Green notched no fewer than seven rebounds in 10 of his first 13 contests with the Clippers. While he played mostly off of the bench after the trade, Green made a pair of spot starts in March, including in a blowout win over the Cavaliers on Mar. 30 in which Green had 18 points and 10 rebounds. That game represented his lone double-double in a Clippers uniform. In the postseason, Green logged 23.5 minutes per game in Los Angeles' first-round series against Golden State, and he was in the starting lineup for Games 4 through 6. Green reached double-figures in scoring in four of six games, finishing with averages of 11.0 points and 5.3 rebounds in 23.5 minutes.

Green began the 2017-18 campaign as the Grizzlies' starting power forward. He played only four minutes in the opening game of the season before suffering an ankle injury. Green went on to miss the next 12 contests before returning to action in mid-November. Overall, he played in 55 regular-season games and averaged a career-high 28.0 minutes per contest. He also registered career-best marks in points (10.3), rebounds (8.4) and assists (1.4). Green notched 16 double-doubles on the season, the most of his career. He tied a season high with 21 points against Boston on Feb. 26, adding 11 rebounds. He grabbed 16 boards in a game on three separate occasions, the last of which was a 17-point effort against the Lakers on March 24. Green was slowed by knee soreness late in the season and was held to two points in a game against the Jazz on March 30. That would be the forward's final contest of the campaign as the troublesome knee forced him to miss the Grizzlies' last six games.

Green's role grew substantially in his third NBA season. He moved into the starting lineup full-time and averaged a career-high 27.3 minutes per contest. As a result, he set per-game career highs in points (8.9), rebounds (7.1) and assists (1.1). Green shot 50.0 percent from the field and 80.2 percent from the line, both improvements over his previous campaign. The 6-foot-9 forward also demonstrated a touch from deep for the first time in his career. He drilled 55 three-pointers on the season and shot a healthy 37.9 percent from beyond the arc. Green grabbed a career-high 17 rebounds against the Pelicans on Dec. 5. He topped that mark only three days later, collecting 18 boards in a win over Portland. On Feb. 4, he scored a career-high 29 points while making all 12 of his free-throw attempts in a win over Minnesota. Green tallied 10 double-doubles on the campaign, including a 20-point, 11-rebound effort against Atlanta on March 11. For the second straight season, Memphis played San Antonio in the first round of the playoffs. Green averaged 7.3 points and 3.3 rebounds as the Grizzlies fell to the Spurs in six games.

After bouncing between the D-League and Europe for several seasons, JaMychal Green settled in for his first full NBA campaign in 2015-16. He played in 78 games with the Memphis Grizzlies, averaging 18.5 minutes per contest. The 6-foot-9 forward posted per-game averages of 7.4 points and 4.8 rebounds. He shot 46.5 percent from the field and 75.2 percent from the charity stripe. Green started 15 games during the campaign, averaging 11.9 points and 7.2 rebounds in that role. He tallied seven double-doubles on the season. On March 9, he established a career high with 13 rebounds and scored 17 points against Boston. Two days later, Green tallied a career-best 21 points and grabbed 10 boards in a win over the Pelicans. Overall, he averaged 12.6 points and 6.6 rebounds in March. Green got his first taste of the NBA postseason when Memphis faced San Antonio in the opening round of the playoffs. The second-year forward played in all four games of the series, averaging 18.1 minutes per contest. He posted per-game averages of 6.8 points and 3.8 rebounds.

Green declared for the 2012 NBA Draft but was not selected. He spent the 2012-13 season with the Austin Toros of the D-League, averaging 12.3 points and 8.1 rebounds in 40 games. Green then headed to France for the 2013-14 campaign where he posted per-game averages of 11.8 points and 6.6 rebounds with Chorale Roanne Basket of the Jeep Elite League. The 6-foot-9 forward returned to the United States the following season, spending much of the campaign back with Austin in the D-League. There, he averaged 23.0 points, 10.7 rebounds and 1.6 blocks in 20 games. Green's solid play earned him a 10-day NBA contract with the San Antonio Spurs. In four games with San Antonio, he racked up eight points, six rebounds and two blocked shots. Though the Spurs did not offer him a second contract, Memphis swooped in and added Green to their roster. The University of Alabama product remained with the Grizzlies for the remainder of the season, averaging 2.7 points and 2.0 rebounds across 20 contests.He posted a season-high 13 points and grabbed six rebounds in his lone start of the season against Washington on March 12.