Although the Toffees faithful don’t seem convinced that the 43-year-old is the right man to save their season.
Giggs was appointed interim manager after David Moyes’ departure from Manchester United in 2014, before accepting an assistant managerial position under Louis Van Gaal.
However, despite being tipped to take the United job at some point in the future, he may not receive the warmest welcome if he takes the reigns at Goodison Park.
Koeman was dismissed earlier today with the club currently languishing in the bottom three, with Sunday’s defeat to Arsenal the final straw for the board.
And with the former Southampton manager having spent close to £140 million on new players in the summer, there’s no doubt that there will be several high quality candidates fighting for the position.
Although the majority of Everton fans on Twitter don’t believe Giggs should be among those under consideration:
Ryan Giggs?! I wouldn’t be at all surprised if Moshiri thought that was a good idea after some of his idiotic interviews.
— Rachael Cotgrave (@bluegirl1878) October 23, 2017
Am I really hearing that Ryan Giggs, and Rooney are being mentioned for manager ? Lost the will to live
— True Toffee (@true_toffee) October 23, 2017
Ryan Giggs pimps himself out for jobs as much as Alex McLeish @SkySportsNews
— Stuart Hart (@Steggsy35) October 23, 2017
Ryan Giggs has no managerial qualifications nor experience but wants the Everton job!
I want whatever he’s smoking. Good shit. High grade!
— GAGE?? (@willxgage) October 23, 2017
It literally escapes me how Ryan Giggs feels like he has a right to every available PL job going
— Greg (@GregWilson09) October 23, 2017
Ryan Giggs being interested in the @Everton job is similar to me being interested in a $1.2m property in Miami. Not happening.
— Matt Hayes (@MattIsLaughing) October 23, 2017
Like a character from TOWIE, Ryan Giggs's PR team desperately reminds people he exists but forgets his lack of management experience. #efc
— John Traynor (@Mr_JDTraynor) October 23, 2017
How arrogant and ignorant is Ryan Giggs. Go and earn your crust in the EFL before thinking you have a define right to manage at the top
— Ashley Elliott (@Ashleyelliott30) October 23, 2017
I’m interested too and would like to throw my hat into the ring
— Everton Optimist (@EvertonOptimist) October 23, 2017
He can fuckin do one
— Jake? (@SilkyySiggy) October 23, 2017
— Goat (@MoutsGoat) October 23, 2017
the everton board when giggs walks in pic.twitter.com/fHBJpLOcbe
— Andrew (@_A_n_d_r_e_w_s) October 23, 2017
We’re about 3 levels higher than he should be aiming
— ian scott (@IanScott1878) October 23, 2017
Errr no thanks!
— Craig Goulding (@craigjgoulding) October 23, 2017
Seeing as Ryan Giggs has done it, I would also like to confirm my interest in Everton's vacant managerial position . . . #EFC
— Kenny Jarvis (@KennyJarvisEFC) October 23, 2017
Ryan Giggs is interested in the Everton job?? I'm interested in sharing a night of passion with Alexandra Burke but hey fucking ho
— Daniel Parry (@danielparry17) October 23, 2017
Should Giggs be looking to cut his teeth in the lower echelons of English football before taking on a role with such a high profile?