Stephane Sessegnon missed a number of chances as his side failed to score in their third consecutive defeat, but the Baggies boss praised his display
The 50-year-old saw strikes from Gary Hooper and Leroy Fer in either half help propel the Canaries to their second victory on the road this season as the Baggies extended their winless streak to five games.
Clarke felt a potential handball from left-back Martin Olsson following a Sessegnon shot stole the chance for his side to draw level in the game, yet he does not rue the amount of chances spurned by his attacker.
"We have to keep believing in him," said Clarke to reporters. "He got in a lot of good positions and he contributed to a lot for the team today and on another day he could have had a couple of goals.
"The chance he missed at the start of the second half was going in the net but it hit Martin Olsson on the arm which stopped the ball going into the net. Whether the referee saw it or not I don't know, but it doesn’t help us.
"I’m not sitting here crying about a penalty decision because it’s a tough one to call. It’s been a difficult week for us getting three defeats in a week. It’s painful and it's hard to take."
Norwich boss Chris Hughton, meanwhile, reserved praise for his own players who he believes responded well from from their midweek mauling at the hands of Liverpool, with the result still in the balance when the score was at 1-0.
"It was the ideal response," he said. "It has to be down to the players because after a Wednesday game you don’t have too much time to prepare. So it has to be a response from the players and we got that.
"It was the type of game where they were either going to come back and get a draw or a win from the game or we were going to break away and get that second one and that’s how it turned out.
"The pressure is always there. As soon as the good feeling of this win goes it’s about the pressure of trying to get the next result, but that’s part and parcel of the game."