Edu has signed a deal with the Turkish outfit after making only one first-team appearance for Stoke - as an 80th-minute substitute - since joining them from Rangers in August.
Referring to the United States international, Pulis said: "He has come in and not got any games. That has been disappointing for Maurice and he needs to play games, to maintain his opportunity of playing for his country."
He went on: "So the club (Bursaspor) has come in and it is a decent club. We have had offers in England as well for Maurice to go and play, so he has got one or two options, which is good.
"Having bought him, and then for him to have then not gotten into the team, we can actually monitor him now for the next three or four months."
Meanwhile, reports have suggested Swansea - who take on Stoke in Saturday's Barclays Premier League clash at the Liberty Stadium - have had a £3million bid for Potters striker Jones rejected.
That is something Pulis was more reluctant to speak about at his press conference to preview the trip to Wales.
Asked about Jones, the manager said: "If there is going to be anything done with another football club, we will do our business with the football club.
"If we sell Kenwyne, then I will speak to you about it. If we don't sell Kenwyne, then I will speak to you about it, and then you can ask me why we did one or the other."