Thistle boss Stuart Davidson voiced his frustrations about going a second Saturday without a competitive match.
Largs have lined up a friendly against Port Glasgow for Saturday, 12 noon kick-off, but have only three league games left in the season, although still feature in two cup tournaments.
Thistle's next tie is away to Cumnock in the Ayrshire Weekly Press Cup 1st round on Saturday March 25, although both teams are idle this weekend, and Arnie believes the game could have been played this Saturday.
Ironically, both teams went on Twitter looking for friendly opponents earlier this week.
Stuart said: "The league won't allow it and they have their own reasons for it - but I would have preferred to get the cup-tie out of the road. We have arranged a friendly with Port Glasgow instead."
Largs are already planning ahead for next season and have opened talks with players regarding next season, and have signed Creag Little, Nicky Jamieson, Laurie McMaster and Matthew Ashe.
Stuart said: "It is early planning - we have to think ahead and build a team for next season and keep our players. We will be speaking to the rest of the boys over the coming weeks."
Thistle defender Little is suspended for the next two games, so will also miss the home league Glenafton on Saturday 1 April.
Stuart said: "We didn't perhaps get a true reflection of what Largs is capable of in that 4-1 defeat, although Glens are currently top in the league and they will be confident."
Thistle trained on Saturday morning, allowing Stuart to head up to watch Clydebank v Irvine Meadow.
Largs have injuries with Alan Gilbride still a few weeks away from returning to action with a hamstring injury, while Matt Bennett is struggling with an achilles injury
Stuart added: "Although it is far from ideal being out of action for two weeks, at least we have the friendly on Saturday to keep us ticking over and refresh ourselves for the remaining games."