Lakers General Manager Mitch Kupchak told the LA Times in a text message, Yes, we have been given permission.
Shaw has strong ties to the Bay Area as an Oakland native, attending Bishop O'Dowd High School and St. Mary's College of California, before transferring to UC Santa Barbara in his junior and senior year.
With the Lakers reportedly interested in Rick Adelman as their next head coach to replace Phil Jackson, Shaw would be a natural fit with the Warriors and co-owner Joe Lacob, who would be making his first head coaching hire since parting ways with Keith Smart.
Shaw is a hot head coaching prospect drawing interest from around the league including the Houston Rockets and the Indiana Pacers. Last year, Shaw interviewed for the Cleveland Cavaliers head coaching vacancy before turning it down to stay with the Lakers.
The Warriors are also reportedly interested in former Cleveland coach Mike Brown and Dallas Mavericks assistant Dwane Casey, but Shaw may be the leading candidate for the job, should the Lakers pass up on the opportunity to promote their long time assistant coach.