John Askey said he was hurt by his dismissal.
The club was promoted from National League North through the play-offs.
He said that it hurt him more that he had to stand in front of a printer and wait for a letter to be printed off.
I'm not happy with how it has been done.
I was told that it was about my contract when I came in. They said to come in and pick up the letter if it was about my contract. I think I'm worth more than that. I believe anyone does.
According to Askey, nobody from the board had said they were unhappy with the team's progress.
However, the club released a second statement on Wednesday to say the former Macclesfield boss had told them at the start of this month that he wanted to leave.
Glen Henderson bought a majority stake in the club from the York City Supporters' Trust.
Two weeks ago, Askey told the board he felt "undermined" but denied saying he did not want to stay.
After the chairman's interview, I said something. Askey said that there was no encouragement.
I told them I couldn't work with someone who was doing this all the time. I said I did not want to leave.
Before the season started, the chairman asked the players if they were happy with the style of play. When we won promotion, he didn't think we played well. It isn't what you want to hear as a manager.
The club had no choice but to look for a new manager after the breakdown in the relationship between Askey and Henderson, according to trust chairman Mike Brown.
When John was asked what he thought of Glen, he didn't say much, he told the radio station.
On one occasion a player approached Glen and he spoke to them. The manager was referred by him.
There were differing opinions on where Glen should be involved.
It is not in anyone's interests to carry on when an employee is unhappy. It was a terrible decision to make.