Suarez scored one and had a hand in a couple of others as Johnson and his City team-mates lost 4-0.
"I mean this in the nicest possible way, but he's like a dirty street rat - sharp, horrible and a bit nasty," said Johnson.
"And that's all said in admiration of him because he's a winner with immense desire. He's an absolute pleasure to watch some times. Playing against Suarez has given me an insight into the way he plays and hopefully an idea of how we can stop him.
"I think the way is to be compact around him and make sure there are numbers crowding him out. He's going to wriggle past you sometimes but you have to hope you get a little bit of luck."
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