City have already rejected a reported £3.75m bid from relegated Burnley. And now the top-flight trio of Fulham, Blackburn and West Ham are all keeping tabs on the marksman.
Maynard has two years left on his contract at Ashton Gate after joining from Crewe in July 2008 for a club-record £2.25m. Maynard scored 35 goals in 57 appearances for the Alex.