The midfielder was outstanding in victory over Fulham.
"I want to stay," said Downing. "I never wanted to leave but I was out of the team, I was frustrated and in that situation you have to look at something if it crops up.
"The only thing I can do is play well and make him keep me here. All I am trying to do is make him pick me for the team and stay in the team.
"If I keep playing like I did against Fulham, that will happen."