The £2.75 million signing from Birmingham City got off the mark with a cool finish in the Lobanovsky Stadium to give the Potters a 55th minute lead, a goal that looked like giving his side a famous victory until Dynamo Kiev equalised in injury time.
"I knew the challenge that I was facing when I came here because Peter signed on the same night and that was one of the attractions," he told Stoke's website.
"There is competition for every place in the team and that sort of competition brings the best out in the players. It's certainly a challenge I am relishing."
City's goalscorer added: "The important thing is that you have to take your chance when it comes along which is why it was nice to score on my debut. But it was just as pleasing to come here and get such a good result in such tough circumstances.
"We set our stall out really well in this game. We stayed resilient and strong; we kept our discipline and frustrated them. We were unlucky to concede such a late goal, but they probably deserved a point when you consider all the chances they had."