The Football Association handed Moore a one-month suspended ban and a £2,000 fine for breaching regulations by betting on a competition that his team was involved in.
"I'm embarrassed because as a manager of Tranmere Rovers Football Club, I should have known," he told Sky Sports New. "So I hold my hands up, there is no doubt about that. I should have known and I didn't know, but is that worth losing my job over?
"It's actually cost me my job and it's cost me £130,000 - and then I get fined here as well."
Moore revealed that he made the bet as part of an accumulator placed on behalf of his sister-in-law.
The bet which cost him his job, a £1 double bet on Tranmere to beat Colchester United in League One, is said to have paid out just £3.93.