Everton chairman Bill Kenwright stopped to speak with frustrated supporters following Saturday's 1-0 home defeat to Aston Villa.
The Blues, looking to get back on track following the dismissal of Rafa Benitez, were beaten by Steven Gerrard's side after a first-half header from Emi Buendia.
This result has further extended Everton's dismal run of form which has left the club just five points clear of the relegation zone.