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Pulis has instigated a remarkable turnaround since he took over the Eagles in November when the club were bottom of the table with just four points from their first 11 games.
Palace guaranteed their top-flight status with a 1-0 win at West Ham last month but Pulis was tight-lipped about his own plans for the new campaign.
"You can never guarantee I'm going to be here next season," he said.
"You take every day as it comes
I'm very, very proud to be stood here as manager of Crystal Palace and that we're still a Premier League football club next season."
Pulis' relationship with co-chairman Steve Parish was strained during the initial period after he took charge, but the former Stoke boss insists he is not unhappy at the club.
"That's nonsense," Pulis said.
"In the first couple of weeks Steve and I had our moments but the longer the season has gone on the closer we've got.
"Our relationship, which I think is the most important at a football club, has got more and more solid.
"I had a fantastic relationship with my last chairman at Stoke - the way we thought and worked things out was one of the main reasons why that club was so successful.
"It's something you have to nurture and bend at times to make it work and that's what Steve and I have done."
Meanwhile, Pulis has been named the Barclays Premier League manager of the month for April
The Eagles won four out of their five matches, including an impressive 3-2 victory at Champions League hopefuls Everton, and guaranteed their survival in the top tier with a 1-0 win at West Ham
Pulis' side currently sit 11th in the table and 11 points clear of the bottom three
Source : PA
Source: PA