Boyata featured for Celtic against Rovers away from home in the fourth round of the Scottish Cup on Sunday afternoon.
The 26-year-old started at the Exsel Group Stadium and played for the entire 90 minutes, as the Bhoys won 3-0.
Scott Sinclair put the Hoops in the lead on the half-hour mark, Moussa Dembele doubled the advantage on 77 minutes, and Stuart Armstrong wrapped up the scoring in the 90th minute.
Celtic manager Rodgers has praised Boyata for his performance against Rovers, and he has also highlighted what the 26-year-old Belgium defender used to do wrong in the past.
“He can still be a player for me,” Rodgers told The Glasgow Evening Times about Boyata. “He has all the attributes that I love because he’s big, got a good spring, he can defend, he’s actually a good defender, he steps forward and defends and he can play.
“The problem in the past has been he’s made mistakes. You can’t make mistakes and lose concentration.
“You see today – very focused very concentrated. Now this might be his moment. He’s got the shirt, he played well and now he might stay in the team.”
Celtic are at the top of the Scottish Premiership table at the moment with 58 points from 20 matches.
The Hoops are 19 points clear of second-placed and Old Firm rivals Rangers and have a game in hand.
The Bhoys will return to action on Wednesday evening when they take on St Johnstone at Celtic Park in Glasgow in the Scottish Premiership.