The shooting guard, who spent last season with the Atlanta Hawks and Dallas Mavericks, signed for the Pelicans as a free agent in July.
Speaking at a press conference, the 27-year-old said: "Really just continue doing what I've been doing the first four or five years in the league. I want to fit in and play my role. Whether it's off the bench, whatever they ask me to do scoring the ball, really challenging myself as a professional in Monty Williams's system.
"I talked to [Cleveland Cavaliers point guard] Jarrett Jack who was here, and everybody loves him, he is one of my closest friends and he told me that I would really enjoy it here. He told me a lot about what Monty will expect from me defensively.
"First and foremost, I want to do that and continue to work my way in offensively. They know what I can do, so I want to continue to do that as I challenge myself defensively."
Morrow has a career average of 10.9 points per game.