It had previously been reported that Marshall asked to be released from the remaining two years of his contract after his manager Martin Tauber and Tigers interim chief executive Grant Mayer could not agree to the terms of an upgrade.
But according to the 2005 premiership winner he was forced out after returning on Sunday from a holiday with his wife Zoe in Bali.
"I didn't meet with my manager until about 4pm until Monday and when I did he told me we had a deadline of 7pm to stay or go ... to accept the offer they gave me or walk away," Marshall told the Nine Network.
"I didn't accept the offer and chose what I thought was best for myself and my family."
Marshall again denied he was motivated by money, saying he had turned down a number of big money offers from rival clubs to stay with the Tigers and had even taken a series of pay cuts to ensure the Tigers were able to remain under the salary cap.
"It's not about money. If it was about money I wouldn't even be here [at the Tigers]," he said.
Marshall also revealed that NRL boss David Smith had attempted to keep him in league after he had made the decision to switch codes.
- AAP