The defensive midfielder has earned rave reviews for his performances in the Premier League for the Foxes.
Top clubs have been targeting Ndidi for the past couple of transfer windows, but no move materialised.
An Arsenal fan bumped into Ndidi at an event, asking him if he would sign for the club.
Ndidi replied: "You have [Thomas] Partey, he's a great player."
When the fan said Ndidi could partner Partey, he added jokingly: "Like [Michael] Essien and [John Obi] Mikel."
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