Add strawberries, sugar, and lemon zest into your saucepan
Mash strawberries (optional) - you can blend your strawberries or mash them with a fork, depending on how smooth or chunky you want your strawberry compote. (I like to keep mine a little chunky, so I lightly mash with a fork.)
Heat saucepan on medium to allow to come to a simmer. Stirring occassionally and scraping down sides, continue to cook until the bubbling slows down and most of the water has evaporated (it does not have to be completely dry).
Mix in the cornstarch-water slurry.
Heat until cornstarch has thickened, about 2 minutes.
Transfer compote to a heat-safe bowl and let cool. Once warm (not hot), refrigerate until completely cold before using compote between your cake layers. Note the cornstarch will continue to thicken as it cools.