payment gateway of Intuit

Thanks for dropping by the Community space, @DevangiPrajapati123.

Yes, you'll have to use either QuickBooks Online or Desktop when using QuickBooks Payments. 

In setting up the payment gateway using QBO, you can check out this easy tutorial guide: How to Set Up QuickBooks Payments.

If you want seamless integration with Desktop, you can refer to the following links:

Payments for QuickBooks Desktop

Let your customers pay invoices online

Once you have the QuickBooks version that's right for your business, you can then integrate it with a nopcommerce app that's available on our App Store.

Tap the Reply button and leave a comment if you have further clarifications. I'm here and ready to help. Have a great day!

I noticed the latest update of Nopcommerce for QuickBooks (i.e Online and Desktop) is released in 2018. You should try it first with current QuickBooks version prior to explore the payment option.