Some groups of Blackpool fans have recently criticised Oyston's chairmanship and they are expected to voice their displeasure before Saturday's game against Nottingham Forest at Bloomfield Road.
"No amount of chanting, demonstrations or anything else will have any influence on the decisions I make or the way I run the business. It just won't," Oyston told the Blackpool Gazette.
"If people need to do something and want to demonstrate or chant, then that's a matter for them but it won't have any influence.
"The only thing we can do now is stick together and get out of this situation."
Blackpool have failed to win any of their previous 12 league games.