The more I sit with this quote, the more I don't like it.
He could have been talking about it being the last crack with the big 3, but even so, it's a straight pussy thing to say.
This guy doesn't have any confidence in himself or the true mentality of a leader that believes in himself. Tim Duncan would never say anything like that because he has supreme confidence in himself. He knows that if he steps out on the court that they've got a chance to win it all. Manu used to have that exact same mentality, but the last couple of years that has been shaken a bit for him because of his physical decline so he's been altering his game.
Apparently, Parker doesn't think the same about himself. He's just not cut from the same cloth as Tim and Manu. I mean, sure, he probably realizes that he's no Tim Duncan, so he's not deluded in himself like some players are (which is a good thing), but that's not the point, the point is that the Spurs have surrounded him with a great team and a very good/great core of LaMarcus, Kawhi, Danny to build upon. That's a darn good start IMO. He doesn't have to do it by himself, he's got help there so he just has to bring it and lead, but it kind of sounds like Parker doesn't believe in them. If he doesn't believe in them going forward, then I don't think he should be on this team.