King is an obvious target for a number of top flight clubs as the Norwegian scored 48 goals in 161 appearances in the Premier League.
The domestic transfer window remains open until October 16. Scroll down and click through to see who the bookies think is favourite to land their target, according to Sky Bet.
1. West Ham
The Hammers are determined to bolster their attack and King is 5/6 to join David Moyes' team
2. Everton
Everton are keen to pair King with Dominic Calvert-Lewin. The Toffees are 7/2 to get their man
3. Aston Villa
Dean Smith's team are in the running for the Norwegian at 10/1
4. Fulham
King would be a fine addition for Scott Parker's newly promoted team 12/1