Albion turned down a deadline day bid of £12m for the 30-year-old. who they value at over £20m, despite having only 18 months left on his contract.
"It wasn't for lack of warning to Arsenal and to all the clubs," he said.
"I've sat here every week saying don't make a bid on the last day, because you're not going to get what you want, really."
Pardew added: "Unless it's a bid that's going to knock us off our chair, and it was no way near that. So they got probably the response they were expecting with that bid, I think."