Tiled makes no assumptions about your programming language or engine. Of course, for some programming languages or engines there will already be Tiled support out of the box and for others you will have to code a loader for Tiled's map and tileset files yourself.
Tiled can export to Lua, so that saves you from having to write any parser code. And for Love2D, there is the Simple Tiled Implementation which helps you with rendering your map.