The former Liverpool midfielder believes Toffees fans might feel differently about the Spanish boss if he guides them to a first trophy since 1995.
The verdict on manager Roberto Martinez appears pretty unanimous from Everton fans after the Merseyside derby humiliation, but former Liverpool midfielder Danny Murphy has suggested to talkSPORT that they may feel differently if thw Spaniard leads them to FA Cup glory.
That result has inevitably led to a huge increase on the speculation surrounding Martinez's future at the club, with some suggestions that that manager will be sacked at the end of the season no matter what happens over the next few weeks.
However, Murphy believes that the man who led Wigan Athletic to FA Cup glory in 2013 might earn himself a reprieve if he can repeat the success with the Merseyside club.
The former midfielder told talkSPORT: "Roberto will be in trouble if Everton lose at the weekend, but I think the FA Cup could save him. I would suggest that if he wins the FA Cup, he might get the start of next season and a few months into the season to see how he does.
"I know Evertonians are at the end of their tether with the team’s performances in the last couple of months, and I have to agree last night was terrible. But if they win the FA Cup, something they haven’t done for a long time – well, they haven’t won any trophies for a long time – that really would change the mood somewhat.
"However, I’m saying that not being an Everton fan, of course. Would winning the FA Cup make any difference to them? Right now, after their Merseyside derby defeat, I’d say probably not. But, if you’re at Wembley in May and you see the trophy lifted, it might be a different feeling then."
If Martinez were to succeed in steering the club to success in the competition, he would be the first manager to lead the club to silverware in 21 years since Joe Royle in 1995.
However, Everton must first navigate a tricky semi-final against Manchester United at Wembley on Sunday, and they are faced with both a desperate shortage of morale and something of an injury crisis in defence.