No on the FX-8350.
You will be limited by CPU availability, the FX-8320 in available on "newegg.com".
Here is the list of compatible CPU's from MSI.
Make sure you are using the correct BIOS version.
I think you are asking if FX-8350 can work in the MSI 970A-G43 motherboard.
The CPU compatibility list is here: https://us.msi.com/file/test_report/TR19_2743.pdf
FX-8350 is NOT on the list, BUT the list is for the first version of the BIOS A.0. There are several more BIOS updates (last was A.6), but it does not indicate if other CPUs are supported.
BIOS A.0 supports Vishera CPU (revision C0) up to 125W.
FX-8350 is Vishera CPU (revision C0) 125W/
So maybe BIOS A.6 supports FX-8350.
This is my guess, I cannot guarantee this works.
Did you try to ask MSI?