The Scot has come under increasing pressure from Cardiff's Malaysian owner and expected to be sacked after the 3-1 loss at Liverpool but has vowed not to resign from his position
The Scot received an email last week from the controversial Malaysian businessman which told him to resign or he would be sacked, but the 41-year-old is refusing to walk away from the south Wales outfit.
Bluebirds chairman Mehmet Dalman has brokered peace talks between Mackay and Tan, and the former Watford manager, who feared for his job over the weekend, hopes to move forward.
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"I did feel I was going to lose my job on the weekend. The email deeply upset me. I declined to resign and expected to be sacked over the weekend.
"I've been asked to meet the owner... absolutely for the good of the club going forward."
While Mackay was full of praise for chairman Dalmat and keen to open dialogue with Tan, he did not sound optimistic about the chances of resolving his differences with the owner.
"I don't know if we can talk. Mehmet has been trying to do this for three months, as have I," he continued.
"There are certain areas that have to be addressed that were in the email. I will find out when I go to the meeting. At that point I will take stock of where I am.
"Mehmet Dalman gives us a stable hand but the owner is a man who makes the decisions.
"Mehmet is a good man and a sensible man. But he's not the man who makes the decisions. Ultimately he will not make the decision. That still has to be addressed.
"There is no more pressure on me now. The team are working so hard and have come up with reasonable performances and good results.
"I'm proud to be the manager here and I think I should be the manager here. I will keep doing what I'm doing and if someone wants to do something different that's up to them."