Stoddart said it would be wrong for F1's governing body, the FIA, to hand out "draconian bans" to the seven teams at Wednesday's disciplinary hearing.
"Would we race after a (heavy) penalty? I think we'd have a meeting and you wouldn't guarantee it," Stoddart said.
But FIA president Max Mosley countered: "The governing body will always win."
In an interview in the UK’s Guardian newspaper, Mosley dismissed fears of a strike and said: "I'm not concerned if they take an antagonistic line.
"What are they going to do? If they go on strike, they're simply cutting off their nose to spite their face. That won't happen."
Mosley told BBC that punishment could range from a reprimand to a ban for life - but he added that he thought the punishment would fall between those two extremes.
If the teams were hit with a heavy ban, Stoddart said there would be an appeal to the (FIA) court of appeal and then it would end up in the civil courts.
