Include playhead position in premiere pro history
I don't think you can.  Try using the Lift and Extract functions instead of cutting using the playhead position.
Set the In and Out points using I and O
&quot;Lift&quot; the section you want to remove using ; if you want to &quot;lift&quot; it (copy it, leaving a gap in the timeline)
Or use ' if want to &quot;extract&quot; (copy it and ripple the rest of the timeline.
You playhead position will be unaffected.
More here:
https://www.premiumbeat.com/blog/lift-extract-premiere-pro/