Wash quince under running water, removing the fuzzy outer layer with a soft sponge or fruit brush. Heat water and lemon juice to a simmer in a saucepan. Add quince. Bring to a boil and add sugar and cinnamon stick. Reduce heat to a simmer and cook until fruit is soft, about 45 minutes. Remove saucepan from heat; discard cinnamon stick. Mix in lemon zest. Pass hot mixture through a sieve into a bowl to create a semi-smooth consistency. Allow to cool and thicken before pouring into sealable jars.