The Baggies goalkeeper signed permanently from Birmingham City last month.
Foster has had spells at 10 clubs over a decade in the game and said he was now looking to settle for the rest of his career.
He said: "I have no interest in moving south or north. I hope this is my last move.
"My kids are going to be settled in schools soon.
"My wife loves the area too and those are the sort of things people don't always see."