Riverside Park is a pleasant place to take a breather. Have a picnic, toss a Frisbee around or just lie on the cool grass and close your eyes for a while.
When you've finished at this recreation and green space in Zanesville, why not make your way to Secrest Auditorium, Muskingum County Court, and Dillon Lake? They're not far from Riverside Park and also popular with tourists.