If you are going out on a group trail ride, the ride is at a walk only. You might want to call them to see if they will let you do a private ride, probably for a slightly higher price, where you can trot or lope a bit. Keep in mind that you are on Griffith Park trails that go through tunnels and have blind curves so much of the ride is in areas where it's really not safe to run the horses. There's a lot of horse traffic on the trails during the weekends so you might have a better chance of arranging the private ride during the weekdays.
All rides through Griffith Park are at a walk/trot only, as the trails are shared with hikers. Trotting is permitted as long as everyone in your group (4 per group) is ready to do so, and if your guide deems the area is safe to do so! Happy trails!
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