The 23-year-old Ukrainian international has struggled to find his game in the Premier League after arriving a year ago.
In his first year at the club, he has often played below average.
Most recently, a disastrous 4-2 defeat to Wolverhampton at Stamford Bridge was the final straw and the fans' reactions are now visible on social media.
One Chelsea fan sent the following message to Mudyrk on Instagram: "Have you forgotten how to play football? Your performance is not good enough. Something needs to change. Maybe you need one-on-one therapy. Every time you play we are one less person on the pitch."
Responding to this message, the Chelsea star told the fan that he would pay 10 thousand pounds for a one-on-one.
The fan replied, "I'll pay you every time you score". And he added that we are all Chelsea fans.
