Wickham replaced the injured Steven Fletcher at half-time and had a goal ruled out for offside in a frustrating game for the Black Cats, which leaves them just one point above the relegation zone.
Despite having only made one league appearance this season prior to the defeat at Carrow Road, Wickham believes he is ready to do a job if called upon.
"I just have to show when I do get on the pitch I am capable of playing in the Premier League. That is what every boy dreams of, so I have to grab my chance with both hands and show the boss I can be there," he told the Evening Chronicle.
"It has been a test of patience for the last four or five months, just waiting to get on. Yesterday it came and I do not think I did myself any harm. I know I have not had as much time on the pitch as I would have liked, but I have worked as hard as I can on the training ground.
"The manager has said what he wants me to do and I have tried to do it. He has asked me just to hold the ball up, be strong, commanding and more aggressive.
"I have tried to do that in training as much as I can and hopefully he has noticed that. He has given me the chance and it is just down to me to take my chance every time I get it.
"I thought I did quite well when I came on, so hopefully that will put me in good stead for next weekend. On another day, I could have had two or three."