It will vary from fund to fund.
Suggest you contact yours and after explaining the situation see if it is an issuer you.
In my case the shares I have in my retail super fund are held in my name and I am what's called the beneficiary, but I don't actually own them.
Whilst I can arrange to buy more (within a percentage limit of my overall holding in the fund) or sell, I have to do it through their platform and using their broker. This can take up to 3 days for execution from the time I push the go button, so requires both some foresight and luck, particularly if doing an at market price transaction.
Beyond that, in order to buy, the stock must be within the ASX300 or better.
Once "owned" it doesn't matter if the stock falls out of the 300, but, if it gets delisted it will be sold at whatever the market is offering before it ceases to exist.
So, in this scenario I would endeavour to sell at whatever I thought was the highest likely price whilst I still had agency.
Then, theoretically I could use that money to buy in under the new ticker at the new exchange, but unless it has become very well known, very quickly, it's unlikely my fund would have it listed as an approved foreign equity. Of course I could still buy it outside of my super or set up a new fund which allowed it, but I know my existing fund will not allow a simple transfer from the existing holding to whatever it will become.
Hope that makes some sort of sense.
This is probably not an issue if you are self managing your own super fund but would probably depend on if it is allowed according to its rules which may be covered in the vanilla versions, but not having done it, don't know.