However, Zaha didn't have the best of times in Manchester and made just four appearances across all competitions for their first-team.
Reports circulated this week indicating Zaha had informed Palace he wanted a move away from the club upon his return from the Africa Cup of Nations, but Hodgson insists he has heard nothing of the sort.More news: Eriksen trains alone on Spurs pre-season tour
LONDON, ENGLAND - DECEMBER 08: Wilfried Zaha of Crystal Palace walks out prior to the Premier League match between West Ham United and Crystal Palace at London Stadium on December 8, 2018 in London, United Kingdom.
Zaha's decision to effectively hand in a transfer request is expected to force Arsenal into action once again, with journalist Kaveh Solhekol suggesting that the Gunners could submit an improved offer for the Ivory Coast worldwide "in the coming days".
Zaha, a boyhood Arsenal fan, is keen on a move to the Emirates to fulfil his ambitions of playing European football, though it is thought that the Palace star will consider other clubs should a deal not be agreed with the Gunners.More news: Fear the Walking Dead renewed from season 6
Zaha is reportedly Unai Emery's transfer priority - but the Arsenal boss has little more than £45m to spend this summer.
Arsenal, meanwhile, are expected to make a concerted "push" for the winger's signature over the coming days.
The Standard claims Everton will receive £22.5m for the sale of Ademola Lookman with the Toffees looking to bring in another wide forward this summer.More news: New ‘Halloween’ Movies Set for 2020, 2021