Crouch - who last played for his country in 2010 - scored both the Potters' goals in the clash at the Britannia Stadium to take his tally for the season to five in all competitions and earn the Staffordshire outfit their first win of the campaign.
Pulis said: "I thought in the first half we were very good.
"The worst thing that happened was half-time - we came out very slow and sloppy in the second half and Swansea controlled the play.
"But we got back into it in the last 20 minutes and I'm just disappointed Crouchy didn't get his hat-trick."
Explaining his decision to take Crouch off for Kenwyne Jones late on, Pulis said: "I just wanted to give Kenwyne a bit of time, and the header against the crossbar - that should be food and drink for Peter.
"The scissors kick is a different thing - I'll speak to him on Monday about that. I can't afford for him to get injured!"
He added: "I'm not reluctant (to talk about Crouch and England), but Roy has a lot of experience and the last thing I want to do is tell him what team to pick.
"It has to be up to him. I don't think Peter can do any more than score goals and play well, and you have seen him today - in the first half he was unplayable."