The Arsenal legend says he is ready to return to the dug-out after a recent spell with Montreal Impact in the MLS which followed his time in charge at Monaco.
And when asked about the vacancy in Glasgow - and his opinion on the success of Steven Gerrard across the city at Ibrox - the Frenchman revealed his availability and that he would consider “whatever comes my way”.
The ex-Barcelona striker said: “I’m sure they’re going to work on what they’re going to work on. I don’t know what’s happening there, this is a club I respect a lot I'm sure like a lot of people in the world, but that I don’t know about.
"All I know is I want to coach and be back out there.
“You look at what Steve G done, and it's just ridiculous. What a man. I knew he was going to deliver.
"I love that [Rangers] gave him the time to be able to catch Celtic, because if not, how are you going to do it? You need more than one season and two seasons.
"To go back to what you asked, I have massive respect for both clubs, but I'm just trying to wait and see.
"I am available, and I don't know what's going to come my way but I want to coach for sure."
Henry’s name has featured in bookmakers’ markets with long-odds. Roy Keane was odds-on favourite to replace Neil Lennon last week, overtaken by former Bournemouth boss Eddie Howe at the weekend. Caretaker John Kennedy is also believed to have been in the running for the Parkhead hotseat.
Henry has been out of the game since leaving Canada earlier this year, and was linked with the Bournemouth job before Jonathan Woodgate’s appointment on the south coast.
Speaking to the Robbie Fowler podcast, Henry said: “With all humility, whatever is going to come my way, I’m not saying that should come my way, but whatever comes my way I'm going to evaluate.”
Henry has also spent time assisting the Belgian national team and his role was replaced by ex-Celt Shaun Maloney when the striker moved on to former club Monaco.