They should have 1-2 years to show what they have got.
There have been so many bad decisions in the last two years that I don't even care if they managed to meet the goals and expectations set for this season. They simply don't deserve to get another opportunity imo. My list of bad moves by Jarmo after the Jones trade would at least include:
Bean trade
Hiring Larsen and not even interviewing Shaw
Domi trade
Bjorkstrand trade
Rushing Sillinger
Erik "#1 FA target" Gudbranson
1-2 years too many on Laine's extension
8 years for Severson
Not trading Korpisalo earlier
Not listening to offers regarding Jenner
Unwilling to send young and unproven players to Cleveland to develop
Not hiring enough experienced developmental coaches for Cleveland
Not tanking hard enough at the end of last season
Thinking Smith > Carlsson pre-draft (unconfirmed if true)
A bit odd draft choices this year past 1st round
Inability to give impression that they have a clear and smart vision on roster construction
Babcock blunder
Ideal time to fire them is likely next spring. I wouldn't do it now because I'm afraid it could damage the integrity of the team even more as they're trying to prepare for new season.