Gobert spoke to reporters on Friday before the Jazz beat the Atlanta Hawks 128-112 in Salt Lake City, Utah. The NBA also announced the reserves for the Feb. 17 game on Friday, with Gobert not making the cut.
"I think it's disrespectful," Gobert told reporters. "... All the coaches preach about defense, every day they talk about defense, about what an honor it is to get stops, to win basketball games; and when it's time to vote, they they're not able to reward the best defensive player in the game."
Gobert is regarded as one of the best defensive players in the NBA. The 7-foot-1 center is averaging a career-high 15.2 points and 12.8 rebounds per game this season. He has also played in a league-high 53 games and leads the NBA with a .655 field goal percentage.
The six-year veteran's emotional sequence with reporters didn't go unnoticed by several NBA stars.
The Jazz host the Houston Rockets at 9 p.m. on Saturday at Vivint Smart Home Arena in Salt Lake City.