Is it okay for a cricket coach who coaches players privately to be allowed to coach or be a selector in a state pathways system or a cricket club's underage representative team?

No. The most important reason is that it is bad for the players themselves. Youth cricketers should have a healthy disregard for the process of selecting teams. They should be encouraged to see such selections as ‘point-in-time’ judgements by adults, some of whom will have some clues about cricket, others of whom are less knowledgeable. Youngsters should be pleased if they make a side, but only ever disappointed to miss out for a very short period. Teams come, teams go…none of them are make or break.

They should be focussed on dreaming, training and playing, rather than wondering whether they made a team or didn’t make a team due to their relationship with a selector.

Of course, it’s also bad for the overall integrity of a program.

A direct message received from a parent.

"Hi Paul
This practice is rampant on the North Shore in Sydney. Teams are well and truly selected before trials have commenced by influential private coaches. The more lessons a week the better your chances of selection."

Nothing wrong with it. As long as there is other coaches there selecting as well to prevent any conceived bias.

In the country, coaches are pretty scarce, so private coaches double up as selectors and zone academy coaches.

I take a keen interest in junior cricket in Sydney as my nephew is a promising young player in the state pathways.
I saw this question and wanted to wait until the Under 15, 16 and 17 pathways squads were announced.
I have a question for Cricket NSW.
If player A was selected in the Under 15s pathways in May 2023 how after a season in Green Shield when they took 2 wickets at an average over 70 do, they get selected in the NSW Under 17s pathways in April 2024?
What am I and many parents missing?