If you are a cash basis taxpayer, you report income in the year in which it is received (2023 in this instance).
However, you might want to contact your client and ensure that the client is not planning to issue a 1099 to you for the 2022 tax year. If that were to happen, it would cause a mismatch between what you reported on your 2022 return and the tax reporting statement (and you would likely receive a notice to that effect from the IRS).
