“I’d love the opportunity to take you to the championship.”
Former Ajax manager Frank de Boer, who left the Dutch club on Thursday, is favourite to replace Martinez at Goodison Park.
But Carragher, who is currently working as a Sky Sports pundit, has now thrown his hat into ring.
The former defender spent his entire career as a Liverpool player.
And when asked whether he would consider managing their Merseyside rivals, he decided to have a cheeky dig.