Oyston confirmed he had met the trio on Sunday night and they were still in a job 24 hours later but, in light of a open letter from Blackpool Supporters Association calling Ince's position "untenable", the chairman made the decision to dispense with the boss.
"It was a really unpleasant thing to do, I've only ever sacked one manager before," Oyston explained to the club's official website.
"We do owe a great debt of gratitude to Paul and Alex for picking us up in disarray last season and securing our Championship status. We got off to a good start this season, the best in the club's history, so you have to weigh all those factors in, which made it a lot more difficult than the last time in my reign.
"We felt it was probably the right time and the right thing to do - to give whoever comes in a fresh start and clean slate to build for the future."
Referring to what was discussed at the meeting on Sunday, Oyston continued: "We tried to go through what was wrong and how we could get out of it. The clock was ticking and I felt we needed some fresh ideas, because we'd run out of ideas.
"As the head of the company, it isn't just about soaking up the good times, it is also about making difficult decisions that you don't particularly want to make, for the good of the business."
One of the several criticisms levelled at Ince has been his inability to bolster his squad's numbers with only player, midfielder David Perkins, brought in to the club in January.
Five loanees returned to their parent clubs at the start of this month and, with numbers so low, Ince was forced to name two youth-team players on the bench for the clash with Middlesbrough just hours after they had already played.
Oyston said: "The fact we have some of our seniors players not fit at this stage of the season is something which very heavily weighed on our discussions on Sunday.
"Also the fact we're absolutely floundering with ideas of recruitment - because ideas can't come from me and Matt (Williams, club secretary) - we need players in and there is no sign of that on the horizon, that is one of our biggest problems, so that weighed heavily.
"I place less relevance on this, but from a supporter point of view, one or two people are unhappy with the style of play, so that has probably led to their unhappiness to an extent, as well as the results."