Is there a tool for non-technical users to prepare problem report data for a network engineer?

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Wireshark is a analyzing tool, so an "one click non-technical action" does not make much sense.

If you want a one-click tool to perform a network capture, then the answer depends on the Operation System used and if the user has admin rights. Probably not the case for "an executive type person or non-technical person".

So yes you can create a script that performs a network capture, using dumpcap or tcpdump or netsh trace etc., but you need, for instance, a helpdesk operator to execute that remotely.