"Knowing him a little bit, as I do, I would have no problems about him going over there and still being able to perform and having a massive impact for that England team".
The reality star spoke out against the global sportsman on Twitter following the emergence of a clip, which saw him quote the 15-year-old's interview on Loose Women.
In the video, he asks with an accent resembling that of Harvey's mother, "Harvey, what do you say when people are being mean?".
He was arrested on Monday in Bristol on suspicion of causing "actual bodily harm".
"Hello you c--s", he says, answering his own question and making an obscene hand gesture.
Toby Roland-Jones has become the first current England player to speak publicly since Ben Stokes' arrest for alleged assault in Bristol on Monday, saying that there are lessons to be learned both for England's players and management in the wake of the incident.
Opening batsman Alex Hales, who was with Stokes late on Sunday after playing alongside him during England's win over West Indies in the third one-day worldwide in Bristol, has also been suspended from global selection.
A statement by the European Central Bank yesterday said: "Ben Stokes and Alex Hales will not be considered for selection for England worldwide matches until further notice".
Stokes was released without charge but remains under investigation while Hales, 28, returned voluntarily to Bristol on Tuesday to provide further evidence to police about the incident.
"It's right up - it's probably in the top two (in my career), I would have thought", said Bayliss.
Stokes, vice-captain of the test side, was named in England's 16-man squad for the Ashes tour starting in November but was suspended on Thursday until further investigation into the incident.
Hales was with Stokes at that time and is now assisting police with their enquiries.