Victory moved Celtic up to nine points, three behind leaders Hearts who have a 100 percent record from four matches played.
The Gers were on the attack when Ryan Jack looked to have been fouled, before Celtic broke directly and Olivier Ntcham snatched the only goal of the game.
"Hopefully, in the near future we'll get more training time and when Celtic next come around, we'll turn up for 90 minutes and not just the 45 today in the second half".
"It's actually a foul in the fourth official's book as I can hear him going down the mic, 'Foul, foul, foul'".
'I spoke to the referee and he disagreed but when he sees it again I think he will change his mind.
It arrived not only because of the speed of a counter-attack, but also because Jack was not around to disrupt Rogic's advance, having fallen on the edge of Celtic's penalty area under the challenge of the Australian. He added: 'I didn't see it as a foul.
Allan McGregor had otherwise been outstanding, but in donkey kicking Kristoffer Ajer mid-way through the first half, the goalkeeper should have been sent off.
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Rangers have been blown away in previous derby games.completely annihilated and scorelines that are not acceptable.
Rangers boss Steven Gerrard told the club's official website: "I said we were talking about giving Alfredo a new deal and I am delighted to confirm we have now done exactly that". "Defensively, we were strong, we pressed the game well and had the courage and quality to play".
The home side started the second half as tenaciously as they had finished the first and in the 50th minute McGregor tipped a powerful long-range drive from Ntcham on to the bar before Celtic's McGregor gave away a foul in his attempt to get to the rebound.
'It was an outstanding win for us and a very good performance.' Gers boss Steven Gerrard felt Ryan Jack was fouled in the build-up to Celtic's victor but Rodgers disagreed.
"We had one or two decent openings - one from Morelos produced a good save then one from James (Tavernier) might have worked the 'keeper a bit more".