Miguel Herrera has been fired as Mexico coach following allegations that he punched a television reporter.
Former Arsenal midfielder Abou Diaby has rejected an offer to join West Brom in favour of finding a new club in France.
The teenager becomes the second signing of new Minstermen boss Nigel Worthington, who replaced the sacked Gary Mills at Bootham Crescent earlier this month.
Carson, who has made 31 appearances for Ipswich since making his debut in March 2011, has struggled for game time under Town boss Mick McCarthy but is expected to go straight into York's squad for Saturday's home league game against Port Vale.
Northern Ireland international Carson is well known to Worthington following his days in charge of the national side.