The former guard told ESPN: "I don't feel I'm a very arrogant guy, but I feel like I am the perfect guy for this job.
"I got a great relationship with Kobe [Bryant]. I know the team, know the roster. I watched them all season long and I just think it would be a great fit.
"We have to talk about the future of the Los Angeles Lakers. We have to also talk about which type of direction we'll be taking and also talk about the type of game that [Bryant is] going to be playing because he's going to have to change his game a little bit, and I think he knows that."
Scott, who has previously had three head coaching roles in the NBA, has already met with the team.