No, Teamcenter 8.3 only works with N7.5 to NX 8.5. For using NX 9.0 you need at least Teamcenter 9.1
This information is available in the integrations matrix on GTAC (https://support.industrysoftware.automation.siemens.com/certification/Integrations_Matrix.xlsm). This requires a GTAC account/Webkey.
The last supported NX release for Tc 8.3 is NX 8.5, anything higher needs at least Tc 9.1
I would upgrade Tc to release 10.1.3, so you can install the next NX releases.
Development: VB.NET, Tcl/Tk Testing: NX11.0 EAP, NX12.0 EAP
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