Does ASAP Utilities work in Office 365? (Yes)

Yes. Office 365 includes the latest versions of Office applications, which is currently Excel 2021.
ASAP Utilities 7.9 works with the Windows editions of Excel 2021 (and earlier Excel versions), both the 32- and 64-bit edition.
More information: ASAP Utilities system requirements

If you haven't installed Office 356 on your PC yet, then log into your Office 365 account and choose:
Install Office on more devices: On a PC or Mac: Install

And then install the latest version and then you can use ASAP Utilities.