However, the 25-year-old attacker has been tipped for a move again this summer after rejecting an improved £125,000-a-week contract and the Ivory Coast worldwide has attracted interest from the upper echelons of the league with Tottenham and Chelsea linked in recent months.
Ivory Coast worldwide Zaha impressed with nine goals and made five assists in 29 games in the Premier League last season to earn rave reviews for his performances.
The Ivorian forward scored nine goals last season to help Palace to avoid relegation last season and has been linked with a move to Tottenham Hotspur and Chelsea, having reportedly rejected a new contract. Tottenham are also interested in the Ivory Coast worldwide.
Zaha is settled in London after leaving Palace in 2013 for an ill-fated spell at Old Trafford that saw him spend much of the next two seasons out on loan.
Crystal Palace winger Sullay Kaikai is a product of the club's academy
It is claimed that the winger, who spent 18 months at Manchester United before returning to Palace, wants to push for a move to Chelsea. The Blues though, have been more concrete with their interest in the 25-year-old.
Instead, he is eager for a big-money move to Chelsea, with Maurizio Sarri potentially in the market for a marauding frontman should Willian leave. Zaha is thus, a viable target, who will bolster the Blues' attack irrespective of the Brazilian's departure.
The Ivory Coast worldwide has a special connection with Palace, having been at the club since he was nine years old, bar one forgettable season at Manchester United.
Hodgson, the veteran Crystal Palace chief, meanwhile, is confident about retaining Zaha for the upcoming term and shared what he discussed with the dynamic attacker recently.