Core Keeper

You can find some areas with Pink Cherry Blossom Trees in Azeos' Wilderness. Pick them up and place them somewhere else.

In Settings there is an option to enable seasonal events, the Cherry Blossom event will place Pink Cherry Blossom and White Cherry Blossom randomly all over the map, collecting 10 of these will allow you to craft a tree. Placing ten trees gets you the achievement. This method is significantly faster than trying to find cherry trees out in the wild.