The midfielder appeared for the Reds when the two sides faced off last year in a charity match held at Old Trafford.
The Scottish side edged the contest on penalties after a hard-fought draw in normal time, which featured a spectacular Wayne Rooney free-kick.
A team of United Legends will travel to Celtic Park for the reverse fixture on 6 September for a 14:00 BST kick-off, where Carrick will be joined by the likes of Wes Brown, Mikael Silvestre and Raimond van der Gouw in seeking redemption – and you can be there to watch it unfold!