To easily peel the tomatoes, bring a large pot of water to a boil. Drop several tomatoes into the boiling water. Watch for their skins to start to split, about 1 minute, then transfer them to the ice water bath. Use a paring knife to peel back the tomato skins. Roughly chop the tomatoes.
Heat olive oil in a large pot. Add garlic and tomatoes. Simmer on low heat, uncovered, until liquid evaporates and you get thickness that you like. It will take at least 1 hour. Stir salsa from time to time to prevent sticking to the bottom of the pot.
If too acidic to taste, add more sugar. Season with salt, pepper and parsley.