The 24-year-old Liverpool striker scored seven goals in 24 Premier League matches during his season-long loan spell with West Ham, despite suffering a series of injuries.
Roy Hodgson's side is set to meet Giovanni Trapattoni's men at Wembley on May 29 before traveling play Brazil in Rio de Janeiro on June 2.
Carroll has spent the season on loan at West Ham, where he scored seven goals in 24 Premier League appearances. West Ham boss Sam Allardyce has confirmed talks are ongoing between his side and Liverpool over a permanent transfer and revealed signing the 24-year-old was the club's "main priority" this summer.
The Football Association has confirmed that no replacement for Carroll has been named.