Forest are languishing in 16th in the Premier League table after losing their last four games, including Wednesday night’s 5-0 hammering at Fulham.
Cooper is just about hanging on to his job at the City Ground and will remain in charge of the game against Wolves this weekend.
However, a defeat at Molineux may well bring an end to his time as Forest boss and the club are already looking at potential alternatives.
Marinakis was said to be livid at what he watched at Craven Cottage on Wednesday night and has massive concerns over where Nottingham Forest are going under Cooper.
The Greek recently sacked Diego Martinez at Olympiacos and Forest have already been looking at potential replacements for the Welshman.
Oliver Glasner, who won the Europa League, is amongst the names who are believed to be in the running for the Nottingham Forest job.
Former Real Madrid and Wolves boss Julen Lopetegui is also on the shortlist of the Nottingham Forest hierarchy at the moment.