The club have confirmed that Robinson has left the club by mutual consent.
Robinson was appointed manager in the pre-season of 2018 and led City of Liverpool FC to a memorable North West Counties Premier League title in his first season.
They currently sit at the bottom of the Pitching In Northern Premier League N/West table, with three defeats in three.
City of Liverpool added: "The club wishes to place on record our thanks and appreciation to Craig for his service as both player and manager. He has never been anything other than 100% committed to the cause of City of Liverpool FC and has worked tirelessly to enable the club to make the transition to Northern Premier League status a success."
The club have also confirmed that they are currently searching for a caretaker manager, with an announcement expected in the upcoming days.
Keep up-to-date with our exclusive email newsletters.
Subscribe