Allardyce was finalising terms to become Everton's new manager on Wednesday, having succeeded Pardew at Palace only to leave the club after saving them from relegation at the end of last season.
"Experience is important, but when you look at our records, I averaged 1.3 points per game, you look at Sam and David Moyes - they're pretty similar," Pardew said.
"We have a history of delivering. I took over Palace in a similar situation and took them from relegation to 10th.
"These things have to come into account when you're coming into a football club and it doesn't look right as an owner."
Tony Pulis was sacked on November 20 following 10 Premier League games without a win, despite having never been relegated from the top flight in his 10 seasons in charge in the division.
"The most important fact is to win games, that's the bottom line and Tony does that very well," said Pardew, when asked if he would listen to calls for a change in style of play at West Brom.
"Tony does it in a different manner to me. My best teams play on the front foot and try and put teams under pressure, sometimes get a bloody nose in doing that, and that's what I'll deliver here at West Brom.
"Hopefully at some point along the line we can get to 1.5 or 1.7 points per game. That's something I've achieved at certain times in the past."