Which API version for Android 2.3.6?
The Android API level list says that the highest API level you can use for 2.3.6 is API level 10. The next higher level 11 requires at least Android 3.0.
use 2.3.6 API 10 which full fills your requirement
If you use 2.2 or 2.1 it also help you to make it compatible for lower versions