I don't believe there are any teams as of July 30th that don't already have 2 goalies on 1 way contracts.
I've been saying it for a while now, but the Kings aren't really in an ideal position in regards to their goaltenders. Quick is just old, Campbell is 11 months away from being a UFA, and Petersen is an older prospect. None of it really works together. Petersen very likely won't get a real chance at winning the #1 job until he's 26, and he has all of 11 NHL games to his name. Outside of any probable injuries to Quick, he's not going to add many to that total.
Without a top 10 pick.
Why not just keep Martinez then? Unless you're thinking Martinez can bring something good back due to what he did in the 2014 playoffs? Objectively, he's now 32, and was at his best on the 3rd pair of a deep defense. Now he's paid $4m, and is a very borderline top 4. If he's in your top 4, your top 3 have to be very good. Not many teams that can afford $4m if the top 3 is that good. They can always retain, but even $2m is a lot for a 4/5 d-man.
Not many of the Kings moves lately have said that they're looking to add a veteran with any sort of name. Even whatever Shattenkirk is at this point. They've got 15 d-men under contract. They're done.