Zaha left Palace to affix United as a 20-year-old in 2013 however rejoined the Eagles two years later after two mortgage spells on the south London membership.
The Ivory Coast winger has scored 4 targets in 13 Premier League appearances for Palace this season and has been linked with strikes to Arsenal, Chelsea and Tottenham within the January switch window.
Hodgson described Zaha as a extra mature participant who would now be capable of deal with the strain of enjoying for an enormous membership, however insisted that he would continue his career at Palace for the foreseeable future.
“I am fairly positive the arrogance he has immediately is not going to evaporate whether or not he continues right here or elsewhere,” the Palace boss was reported as saying by the Daily Mail.
“We would like that to be right here, after all, and by chance we’re accountable for that state of affairs.
“But when the day did come when Wilf determined, or the membership determined, they’d be obliged to let him transfer onto the subsequent Manchester United on the horizon, I am positive he’ll be in a greater place to take care of it.”
Arsenal have been linked with a £35m ($47m) transfer for Zaha, who signed a five-year contract extension at Selhurst Park in Could, as a possible substitute for Alexis Sanchez.
Manchester Metropolis have been additionally believed to have made contact with the winger’s representatives through the summer time.
Hodgson added: “[Zaha] was a younger participant at Crystal Palace, individuals have been predicting an ideal future for him and Alex Ferguson at Man United got here alongside and paid a really, very excessive switch payment on the time.
“I do not assume that may be equated with a younger participant considering the grass is greener is elsewhere.
“Even immediately most younger gamers of 18 or 19 doing nicely, when Manchester United come alongside and are ready to pay large cash, I might count on in most situations they might wish to go.
“If they are saying they might moderately keep right here then they could possibly be accused to not eager to pursue their profession on the highest stage.”