Former New York City Mayor Rudy Giuliani on Wednesday said President-elect Donald TrumpDonald TrumpKinzinger says Trump 'winning' because so many Republicans 'have remained silent' Our remote warfare counterterrorism strategy is more risk than reward Far-right rally draws small crowd, large police presence at Capitol MORE didn't forget about him when forming his administration.
"He offered me some Cabinet positions, which I'm very very thankful for," Giuliani said on "Fox & Friends."
"It just didn't work out."
Giuliani said in a different time in his life, he likely would have accepted the jobs that Trump offered him.
"I've got a big law firm. I've got a big consulting firm. I am extremely busy," he said.
"And at 72 years old, there was only one challenge I thought that really was left for me. The others wouldn't have been a challenge."
Giuliani had been under consideration to serve as Trump's secretary of State. Earlier this month, he announced he had removed himself from the running for any position in the new administration.
"This is not about me; it is about what is best for the country and the new administration," Giuliani said in a statement.
"Before I joined the campaign I was very involved and fulfilled by my work with my law firm and consulting firm, and I will continue that work with even more enthusiasm."
Trump chose Exxon Mobil Corp. CEO Rex Tillerson for secretary of State.