For Windows 11 ARM when running under Fusion 13 (the released version), you must install the networking driver from a PowerShell prompt. You will not see a GUI installer like you do for Windows on Intel.
Please see either the Fusion 13 documentation or the unofficial Fusion 13 Companion guide https://communities.vmware.com/t5/VMware-Fusion-Documents/The-Unofficial-Fusion-13-for-Apple-Silicon... for instructions on how to drop into Powershell and install networking and video drivers. The unofficial guide walks you through installing the drivers at Windows setup time so you don't have to resort to disabling setup's networking checks.
The 2023 Tech Preview provides a more fully featured set of VMWare Tools with a GUI installer, copy/paste/drag/drop and enhancements to the video drivers (including 3D support and auto-resize of the VM console window).
There are no VMWare Tools that you install from Fusion's GUI for Linux arm64 VMs. Almost all Linux distros include a VMware-compatible network driver and open-vm-tools/open-vm-tools-desktop packages which you must use as the in-guest tools.
If you've done all of that and you're still having network problems, make sure you're running Fusion 13.0.2 as there are networking fixes in those releases.
Also you need to check your virtual network configurations for your VMs.