Chester joined the Baggies from Hull City in the summer transfer window, but he hasn’t established his place in the team.
The 26-year-old has regularly been used at right-back to date this term, but he has not shown his best form in the unfamiliar position.
As a result, Chester has dropped out of West Brom’s first-team of late, and the defender has revealed he has already held discussions with Pulis over how to win his place back.
“He said he understood it was a new club and a new position and we had some work to do," Chester said in the Birmingham Mail.
"But up to the part of speaking to him I hadn't done much work regarding playing right-back.
"I asked him how I would get back if not doing the things he said to me.
"I'm trying to stay professional and keep myself right for when I get the chance, because when I get there I feel I'm good enough to stay in the team."
Chester was a key player for Hull last season, and he showed then that he was capable of playing in the top-tier.
However, the Tigers deployed him as a centre-back, and he hasn’t looked as comfortable in a full-back role since moving to the Hawthorns.
Chester has made five appearances for the Baggies to date, but he has not played for Pulis’ side since the start of October.