The Belgium international, who joined the Baggies from Tottenham Hotspur last summer in a club record £13million deal, is a key target for Swans boss Paul Clement, who is actively pursuing targets in preparation for Gylfi Sigurdsson's expected departure to Everton.
Clement admires Chadli's pace and creativity and believes he would be a strong addition at the Liberty Stadium as he can be played in the centre or out wide.
"It's been publicised that Swansea are interested in Nacer – if they are, we'll deal with Swansea," Pulis told the Birmingham Mail.
"At the moment Nacer is with us and I hope he stays with us."
Chadli was left on the bench for West Brom's 1-0 win over Bournemouth on Saturday after reportedly falling out with Pulis during pre-season. However, the Baggies boss poured cold water over any suggestion of discord.
"You have your ups and downs like every family, but Nacer has trained hard this week and he's worked well," Pulis said.