"I thought Luis was excellent," he said.
"Considering he had been out for such a long time he ran himself into the ground, he was always a threat, he put defenders on the back foot with a couple of twists and as he goes on he will get a bit sharper.
"Overall he can be really pleased and I was really happy for him because his contribution was brilliant.
"He has worked very hard. He obviously tired a bit towards the end but the only way he is going to get that (fitness) is playing in games.
"But even in the last moments of the game he can still create, distract defenders and open up the space."
Old Trafford was probably not the ideal place for Suarez to make his comeback after five months on the sidelines considering the history he has with the club following his eight-match ban after being found guilty in December 2011 of racially abusing their defender Patrice Evra.
But Rodgers said there was never any doubt the Uruguay international would play against their arch-rivals.
"He is one of the most determined people I've ever met in my life," added the Reds boss.
"He is very thick-skinned and he has a wonderful talent. There are no qualms he will go and play anywhere.
"I had spoken to him and he was fine. When you are out for so long not playing when the first opportunity comes along he was never going to be fazed by it."
Rodgers also saw it as an opportunity for the 26-year-old to repay the fans after a testing few months in which he tried to manufacture a summer transfer by claiming Rodgers and the club reneged on a deal to allow him to leave for a team in the Champions League.
"The support they have given him is unheralded. They were brilliant towards him, he has given them everything," he said.
"He was clapping to the crowd before the match started so he recognises everything they have given him.
"Now he has got to get his head down and give them that great talent he has and hopefully it will end up in goals for him."
While he was full of praise for Suarez, Rodgers appeared to point the finger at Jose Enrique for losing Hernandez at a corner for the goal.
"It is disappointing. It is an individual thing, it is not a collective," he said.
"If you look at the corner you see all the players skin-tight to their markers, no one was free and then Chicarito gets free far too easily.
"It is not good and at the weekend (in the 1-0 defeat to Southampton) we did a similar thing.
"As an individual you have to be stronger mentally and have a greater desire not to lose your marker. If you do that there is a greater chance you won't concede.
"It is not something we go into straight after the game but it is something they know."