Rangnick, 63, is currently manager of sports and development for Lokomotiv Moscow and United remain in talks with the Russian club over an agreement to release him.
Carrick has been placed in temporary charge while United conduct a thorough process to appoint an interim boss following the sacking of Ole Gunnar Solskjaer last week.
More to follow…
The club are planning to make a permanent appointment at the end of the season and Paris Saint-Germain boss Mauricio Pochettino is their first choice, with Ajax head coach Erik ten Hag also in their thinking.
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Discussions are ongoing over a deal that would also see Rangnick remain at the club for two years beyond the end of the season in a consultancy role.
As it stands, Michael Carrick is still expected to be in charge for Sunday’s Premier League game at Chelsea, live on Sky Sports.
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