Shazamify allows you to play your Shazams in Spotify, directly from the browser.
UPDATE 5: I had to publish a new extension as the old one was costantly taken down with no explanation, thanks Google again 😒.
UPDATE 4: Since mid 2017 Spotify blocked unauthenticated API calls, unfortunately, because of that, the user scripts are not longer working :(
UPDATE 3: The Chrome Extension was taken down without any notice from the store. Thanks Google, thanks! I am trying to figure out what I can do about it. In the meanwhile you can use the User Script solution. UPDATE 2: Shazamify, ehm..., Zamify is back online! Enjoy :) UPDATE: Unfortunately for a matter of copyright with Shazam (even if I work with them) the Chrome Extension was taken down. In the meanwhile, I'm trying to reupload it to the Chrome Web Store (with the fancy name on Zamify) you can install it as User Script. Shazamify User Script
I wrote also a little compedium on how to install an User Script.