Maurizio Sarri gave Loftus-Cheek his chance on Thursday and he duly delivered, but Mail on Sunday columnist Hoddle urged the midfielder to leave the club if he is not afforded more opportunities to impress.
With Chelsea competing on multiple fronts this season, though, Hayes has no doubts Loftus-Cheek will have a role to play at Stamford Bridge going forward.
"Internally for him, he is a player that everybody wants to see do well", she said. "In the offensive phase he was wonderful", the Italian told a news conference.
"I think my debut was still more special, just because you dream of that as a kid".
Loftus-Cheek's second was all about his positional play, the 22-year-old arriving ahead of Olivier Giroud to apply a side-footed volley to Willian's corner and again finding the net low to Scherbitski's right.
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"We have four midfielders and three of them have the same characteristics", Sarri told BT Sport. "It's important to train as hard as I can to keep the fitness up and keep sharp for the times when I do come on or get an opportunity".
He said: "If I'm him, I'm hoping he takes me off before the 90 minutes is up". He's a talent - with my England hat on I need to see him playing'. I need an improvement in the defensive phase'.
Ross Barkley has only made three league starts for Chelsea this season, with Sarri's men unbeaten in 13 games since their Community Shield loss to Manchester City.
"I have a little problem as I have to put 11 players in the starting XI and I have 28 players".
"Scoring hat-tricks, albeit on a Europa League night, is a real statement and one that says, 'I can do what you are asking me to do'".
"We have a tactical problem with the midfielders".