Save & Share screen captures instantly.
Gyazo API is a free Cloud Storage & File Sharing API that requires apiKey authentication, is served over HTTPS and has unconfirmed CORS support.
Details from gyazo.com.

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The Gyazo API is provided by Gyazo (gyazo.com).
Yes. The Gyazo API is listed in the Cloud Storage & File Sharing category of the public-apis directory, which only includes APIs that are free or have a free tier. Check its documentation for rate limits and paid plans.
Yes. The Gyazo API uses apiKey authentication, so you need to register for credentials before making requests.
CORS support for the Gyazo API is unknown. Test a request from the browser, and fall back to a server-side call if it is blocked.
Yes. The Gyazo API is served over HTTPS, so it's safe to use in production.