Carrick is the bookmaker's favourite to be United manager at the start of next season, followed by Crystal Palace boss Oliver Glasner, who is out of contract in June along with Bournemouth coach Andoni Iraola. Thomas Tuchel is out of the running after renewing his contract with England.
Even though Carrick has only had one stint as a first-team coach before succeeding Amorim - a mixed spell at Middlesbrough which led to him being sacked after a fourth season without winning promotion - Rooney believes he has shown he can cope with managing at the highest level. He added: "The club has needed rebuilding a little bit in terms of getting back to the top and back to winning major trophies. Michael has been at the club for a long time, and he knows what that takes. He is a good manager, and he is showing that.
"He is showing that there is no problem managing at this level. The players have responded to him, the fans have responded to him. Why would you change it? Why would you try to find someone who is a risk like Roberto de Zerbi? For me, he has to get it."