The Eagles defender, currently on loan at Southend United, was sentenced at Bexley Magistrates' Court last Wednesday for the assault.
However, Inniss successfully appealed his sentence at Croydon Crown Court today. His 14-week conviction stands, but was suspended for 18 months.
He was also ordered to carry out 240 hours of unpaid work, pay £300 compensation to victim George Bryan and spend 20 days on an alcohol rehabilitation course, reports the Croydon Advertiser.
"We're pleased, but obviously it's the last chance for Ryan," said Parish after the appeal.
"We can't condone what Ryan did, but I've known him for a long time. He's an extremely young man.
"He needs to get himself back on track, and we've got to help him deal with his issues.
"We're concerned for this victim and can't condone what he did, but we think the court made the right decision.
"He's going to have this hanging over his head for 18 months. He knows he has to change his behaviour, and this is his last opportunity to make something of his life and career, and he has every opportunity to do so."