Resolve has an excellent manual. I don't understand why people don't just open it and read it to get answers to basic questions like this.
Fusion compositions are always executed before Color adjustments. This is a workflow norm.
To use the stabilizer on a clip before adding it to Fusion, you need to stabilize it on the color page and then make it a compound clip. After doing that you can use it on Fusion and it will be stabilized.
But really... Read the manual!

There's a lot of useful knowledge in it and you will help in keeping this beta testing forum cluttered from off-topic posts.