NSW currently have a policy where the coach cannot be connected with an NRL club.
"It hasn't been offered to me so it's not a decision for me," he said.
"I am certainly not walking away from Origin. I loved Origin and I don't need to explain that.
"This is an opportunity I've been waiting for. I've been waiting for an opportunity that I'm comfortable with and it's arrived and I would never say no to it.
"There's still a part of me that's empty because I didn't win. All I wanted to do was win for NSW people, supporters, players, but the decision is not up to me."
In his debut year as a first-grade coach with the Sydney Roosters in 2002, Stuart won the premiership, and went on to qualify for the next two grand finals.
He also got Cronulla to within one match of the grand final in 2008, before things ended up going sour at the Sharks.
However, after two years out of the pressure-cooker of the NRL, Stuart said he's excited to be back and isn't daunted by taking on the Eels role.
"It does feel weird it's different colours to what I've worn the last few years but for anyone who knows me, as soon as I adapt to new colours a new club that's my club. That's the way I feel.
"It's a tough job being a head coach but when it's in your blood you get excited and I'm really excited about the huge challenge here ahead of me."
Parramatta chairman Roy Spagnolo said he's yet to discuss the issue of Origin coaching with Stuart, but didn't close the door on the possibility his new man could do both.
Stuart said he will meet with Blues officials next week.
- AAP
