The Baggies' number two signed a two-year extension to his contract on Tuesday with the option of a further year in the club's favour.
Ben Foster has a firm hold of the number one shirt, and Myhill told the club's official website: "I've played 70-odd Premier League games and it's a big ambition of mine to play more.
"I'm obviously well aware of how good Ben is. He's gone from strength to strength this season and the challenge is for me to be ready when I'm needed. Hopefully that's what I've done so far.
"The gaffer has been good with me all the time. He put me in the team and showed faith in me when he needed me.
"Most importantly he says he trusts me, and when he needs me to play I have his trust, which is massive for a player. That was a big factor in signing a new contract."