bayern munchen" style="max-width:420px;float:right;padding:10px 0px 10px 10px;border:0px;">Boyata caused a storm in Glasgow when declaring himself unfit to play in their Champions League qualifier against AEK Athens earlier this month.
The Hoops were dumped out of the tie and now face a battle to qualify for the Europa League.
A banner in the stands was unveiled before the game which read 'Boyata - not fit to wear the jersey’, while the player was booed by some supporters.
But Rodgers has praised the defender after he went on to score in the 63rd minute to help Celtic to a 1-0 result.
"Obviously I would have Real Madrid drakt 2019 - http://www.ustarchinet.org/Real-Madrid-9-Karim-Benzema-p-drakt-4577 preferred a different reaction but I am not going to criticise the supporters,” Rodgers said.
"I will give credit to Dedryck and how he coped with it and you saw the (positive) reaction from probably three quarters of the ground.
"When you are trying to redeem yourself sometimes it takes a bit of time.
"Naturally supporters, the real passionate supporters, look for that commitment in the player, it is not always about ability. The reaction of three quarters of the stadium plus his team-mates, you see we are all together.
"It wouldn't have been easy for him. I think he did all his talking on the pitch. I thought he was top-class, everything he had to do he did it with real quality, and of course he gets the winning goal."
Boyata has been linked with a move to Spanish side Sevilla this summer, while Galatasaray and Fenerbahce are also interested.
Celtic could sell for around £10m, although Rodgers would then seek reinforcements ahead of Friday's transfer deadline.
Rodgers was asked about a replacement for Boyata, with France Under-20 player Harold Moukoudi on his radar.
He said: "I am not thinking anything Olympique Lyon drakt 2019 - http://www.ustarchinet.org/Olympique-Lyon-28-Tanguy-NDombele-p-drakt-8255 other than Dedryck being here.
"He cruised the game today because he is a top-class player. We are not a squad who can do without that quality.
"But with Jack Hendry and Jozo Simunovic injured, it is a position that we will look at."
The win moves Celtic up to second in the Scottish Premiership - three points behind leaders Hearts.
The Hoops play Suduva in the reverse leg of their Europa League playoff clash on Thursday, with the scores currently 1-1.
They then host Rangers in the first Old Firm of the season next Sunday.
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