Rooney returned after a two-game suspension and converted Gerrard's right-wing cross early in the second period.
"Rooney is a fantastic player," Gerrard said. "I know how good he is and how important he is to our country and he showed it against Ukraine.
"There was a lot of pressure on him. He hasn't been playing much lately, and had the suspension, so credit to him for the way he performed.
"With more game time, he can only get even better."