The Pool boss was given a warm reception by supporters at Saturday's home match against Wolverhampton Wanderers, and Oyston has revealed that he is now ready to stick with Riga.
"After the game, Jose Riga and I had a really productive chat for more than an hour, one which was much-needed," Oyston told the Blackpool Gazette.
"We discussed what's right, what's wrong and what we need to do better, particularly between ourselves. We had a lengthy chat and covered everything, no holds barred. It's now about how we both respond to that.
"I'm happy to give him the support he needs and hopefully things can move forward now."
The Tangerines picked up their first Championship point of the season with the goalless draw against Wolves.