Approved or just Accepted? If actually Approved, the next step is Sent.
We’ve approved your refund. We are preparing to send your refund to your bank or directly to you in the mail. This status will tell you when we will send the refund to your bank (if you selected the direct deposit option). Please wait 5 days after we’ve sent the refund to check with your bank about your refund, since banks vary in how and when they credit funds. (It could take several weeks before you receive a mailed refund check.)
Tax Season Refund Frequently Asked Questions | Internal Revenue Service (irs.gov)
If you received an email from TurboTax or are looking on the TurboTax online Tax Home web page the status of the e-filed tax return will show
Accepted
not Approved. Accepted and Approved have totally different meanings.
Once a tax return has been Accepted by the IRS or a State, TurboTax receives no further information concerning the tax return or the status of any tax refund.
If accepted by the IRS use the federal tax refund website to check the refund status - https://www.irs.gov/refunds
If accepted by the state use this TurboTax support FAQ to check the state tax refund status - https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
After the tax return has been Accepted by the IRS (meaning only that they received the return) it will be in the Processing mode until the tax refund has been Approved and then an Issue Date will be available on the IRS website.
See this IRS website for federal tax refund FAQ's - https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions