Arteta said he is tracking rival managers after receiving his second yellow card of the season.
Carrick opened his briefing early, addressing United’s slump, standards and supporter expectations directly.
City were beaten at Villa Park after Jackson’s brace and a string of costly errors.
United’s manager search is being shaped by concerns over a dressing room described as “out of control”.
Conte has denied advanced talks with any club as Manchester United speculation continues to grow.
Chelsea host Spurs as Liverpool meet Brighton in a weekend of tight Premier League predictions.
Carrick leaves Fernandes’s captaincy uncertain, with Bournemouth next and United’s leadership options thin.
United are considering a six-man shortlist, with Carrick under pressure and several rival candidates emerging.
Rooney slams Martínez and Fernandes, accusing both of deflecting blame and avoiding responsibility.
Ashley Young has cautioned against a Conte appointment, calling it a “disaster” for Manchester United.