Great for a stroll
This is such a pretty park for a stroll when it's sunny. Also they usually hold different events here - music in the gazebo or Easter or Christmas stands for example. Nice place to relax on a bench and a stone's throw from the main square Trg Bana Jelačića.
Green part of the centre
Try not to skip Zrinjevac, green parc with fontaines in the middle of Zagrebs hart. Very nice in summer alloving people to sit in very deep shadows of trees and specially in winter during Christmas market. Beautiful romantic place in the Center of Zagreb.