This depends on the system and the accounts you mean to transfer the invoices to, Burnham.
What system are you trying to transfer to, or what accounts were created within your Chart of Accounts in the "new" system?
When migrating invoices, the relationship between these accounts must be carefully managed by debtors/accounts receivable, sales/income accounts, and tax control accounts (if applicable, such as VAT or GST).
QuickBooks Online will still use the original Debtors account for accounts receivable transactions, even if you create a new one. Although you can't directly assign transactions to a new debtor's account in QBO, you can use journal entries to make adjustments and reflect the new account structure.
On the other hand, if the "new system" refers to a new QBO subscription/account entirely, you can import invoices from the old subscription. While this allows customer balances and invoices to transfer, be aware that sales will be recorded separately in both QBO subscriptions, potentially leading to double-counting of revenue unless invoices are flagged correctly on import.
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