It’s almost certain that Setien would be sacked within the next 48 hours, after the club’s emergency board meeting on Monday.
This follows an embarrassing 8-2 defeat to Bayern Munich in the Champions League quarter-final on Friday.
Maurici Pochettino is believed to be the leading candidate, but his affiliation with Barcelona’s local rivals, Espanyol means he is not a unanimous choice.
Ronald Koeman, a former Barca player is under consideration, as is Max Allegri who has enjoyed a one-year sabbatical after leaving Juventus last summer.
However, Henry has now been added to the list.
The Frenchman endured a wretched start to his managerial career as he was sacked after just six months with Monaco and is currently the head coach of MLS side Montreal Impact.
