Hello,
We apologize for the issue you are facing with updating the Rank Math plugin. The error message you received, "Update failed: The package could not be installed. PCLZIP_ERR_BAD_FORMAT (-10) : Unable to find End of Central Dir Record signature," typically indicates that there may be a problem with the downloaded plugin file or a conflict during the update process.
Here are a few steps you can take to resolve this issue:
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Reconnect Your Website with Rank Math: Sometimes, simply disconnecting and reconnecting your Rank Math account can resolve update issues. You can do this by going to WordPress Dashboard → Rank Math SEO → Dashboard → Help, and then click Disconnect Account. After that, click on Connect Now to reconnect.

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Manual Update: If the automatic update continues to fail, you can manually update the plugin. To do this, download the latest version of Rank Math PRO from your Rank Math account area. Then, go to Plugins → Add New in your WordPress dashboard, click on Upload Plugin, and upload the downloaded file.

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Check for Plugin Conflicts: There might be a conflict with another plugin or your theme. You can check for conflicts by following our guide on Plugin/ Theme Conflict With Rank Math.
If these steps do not resolve the issue, please reply to this ticket, and a human agent from the Rank Math Support team will assist you further.
Thank you for bringing this to our attention! We appreciate your patience as we work to resolve this issue.
Sources:
How to Update Rank Math Manually » Rank Math
How to Fix ‘Automatic Update is Unavailable for this Plugin’ Error in Rank Math » Rank Math
Hello,
Thank you for contacting us and sorry for any inconvenience that might have been caused due to that.
It seems like you purchased the plugin with some other email address.
Can you please share the email address which you used to purchase the plugin or you can search and forward the receipt from FastSpring.com so we can locate your account?
Back to your issue, one possible reason for this error is trying to update the PRO version of the plugin while connected to your free account.
For more details, you can check this URL:
https://rankmath.com/kb/fix-pclzip-err-bad-format/
Looking forward to helping you.
Thank you.
Hello,
Since we did not hear back from you for 15 days, we are assuming that you found the solution. We are closing this support ticket.
If you still need assistance or any other help, please feel free to open a new support ticket, and we will be more than happy to assist.
Thank you.