The move would see Garnacho leave United, who are not interested in keeping him. The club's head coach, Ruben Amorim, wants to sell the player and use the funds to sign other players.
Transfer expert Fabrizio Romano has confirmed that Garnacho is keen on joining Chelsea. He had prioritized the move in January and still wants to join the team this summer.
Chester have held talks with RB Leipzig's Xavi Simons, which could affect their decision to bid for Garnacho. The player has a strong record with 26 goals in 144 appearances for United, but Chelsea are not willing to pay more than £30 million.
United have dropped their valuation of Garnacho from £70 million to around £45 million. He prefers to stay in the Premier League and has been linked with both Chelsea and Aston Villa, who will be looking for a replacement for Marcus Rashford.