Coleman said after the Man City game: "He's having a terrible time in front of goal at the moment - his confidence is shattered in that department.
"If I had a bigger squad I'd rest him but he had to play, he rolled his sleeves up and produced a lot of work.
"He showed a lot of courage because it's hard for strikers when they're not scoring - sometimes they don't even want to get into the right position.
On Radzinski's open goal miss, Coleman added: "He sprinted a long way to get into position at the end.
"Alright it was a big miss but he still got there. I was delighted with his overall performance."