The Blue Jackets said the decision was made per the advice and recommendation of the NHL/NHL Players' Association Substance Abuse and Behavioral Health Program.
Texier, a 22-year-old forward, has one season remaining on a two-year contract he signed July 28, 2021, and can become a restricted free agent after this season.
He will not be paid, and his salary will not count against the NHL salary cap, but he can sign a one-year contract to play in Europe this season.
"During the past year, I have experienced some personal issues and challenges and I feel I need to be close to my family at this time," Texier said in a statement. "I have love and respect for the city of Columbus, the Blue Jackets, and the fans as everyone has always treated me first-class. I truly appreciate the support, help and empathy I have received from team management, the coaching staff, doctors, trainers and my teammates. This was a hard decision, but it is the best one for me right now."
Texier took a leave of absence from the Blue Jackets last season in March after he sustained a fractured finger Jan. 26. He did not play again, finishing with an NHL career-high 20 points (11 goals, nine assists) in 36 games.
Selected by Columbus in the second round (No. 45) in the 2017 NHL Draft, Texier has 49 points (22 goals, 27 assists) in 123 regular-season games and seven points (two goals, five assists) in 18 Stanley Cup Playoff games.
"Alexandre Texier and I recently had a very long conversation in which he indicated to me that he was not ready to resume his career in the NHL at this time," Blue Jackets general manager Jarmo Kekalainen said. "While we are disappointed 'Tex' will not be joining us for the 2022-23 season as we anticipated, his mental health and well-being remain our top priority and we will continue to support him in any way we can."
The Blue Jackets (37-38-7) finished in sixth place in the Metropolitan Division, 19 points behind the Washington Capitals for the second wild card into the playoffs from the Eastern Conference.