The Spaniard saw his Blues side beaten 2-0 by Swansea City in the Capital One Cup semi-final first leg last night after a couple of other disappointing results but Pulis feels he can be a success at Stamford Bridge if given the right amount of time to prove himself again after time away from management.
"I had it here when I came back after the spell away," said Pulis ahead of Stoke's home meeting with Chelsea on Saturday.
"You have to grind it out and get through it. You have to get results and that is what Rafa will have to do.
"If he gets results and he gets lucky, then he has a fantastic football club to build.
"He has proved before at football clubs that he can manage at the highest level.
"Given the chance, who is to say he couldn't do it at Chelsea?
"But he needs the opportunity, and that does not mean weeks or months - you have got to give people time."