Speculation suggested that New York Red Bulls forward Henry was favourite for a return to the Premier League and St James' Park.
However, when asked about Henry, Pardew told the Evening Chronicle: "I don't think that's possible."
However, he did admit there could be moves in the free transfer market, adding: "I haven't even thought about it, if I'm honest, but we will do over the next 48 hours."
Former Middlesbrough forward Jeremie Aliadiere, with whom he worked briefly at West Ham, is thought to be one of the players under consideration.
Pardew remarked: "There are one or two players we are looking at.
"I don't think we are going to get anyone who could impact on the first team, but on the bench, I need to turn round to that bench and have people who can affect the game.
"We will look, perhaps, to that market for maybe one or maybe two if necessary."
A stunned Alan Pardew looks back on the astonishing 4-4 draw with Arsenal.