Mac storage basics · macOS updates and installers
Do apps from the Mac App Store leave installer files behind?
Short answer: No — the App Store installs straight into Applications and cleans up, so there's no installer to remove. Delete apps you don't use to reclaim their space.
No. The App Store downloads and installs the app straight into Applications, then cleans up after itself — there's no installer to delete afterwards. The space an App Store app uses is the app itself plus whatever data it creates as you use it.
To reclaim space from an App Store app you no longer use, delete the app (from Applications or Launchpad). If the app stored data in its own container, that may remain; see the Containers folder.