Why would the IRS approve my W2 but I never received it ?

We are not sure what you mean by "approve my W-2."   I think it is possible that you are confused about the tax terminology you are using.  

https://turbotax.intuit.com/tax-tips/irs-tax-forms/what-is-a-w-2-form/L6VJbqWl5

Do you mean that you filed a tax return---which would have been on a Form 1040----and that you entered the income from your W-2 that you received from your employer?

When you e-file a tax return, you get back the message telling you if it was "accepted" or "rejected."   "Accepted" only means that it went into the system.   There is still a process that can take weeks or months in order to get your refund "approved" and sent to you.

When you e-file your federal return you will receive two emails from TurboTax.  The first one will say that your return was submitted.  The second email will tell you if your federal return was accepted or rejected.  If you e-filed a state return, there will be a third email to tell you if the state accepted or rejected your state return.

First, check your e-file status to see if your return was accepted: 

https://turbotax.intuit.com/tax-tools/efile-status-lookup/

If the IRS accepted it, what does it say here?  

https://www.irs.gov/refunds         

  Or does your account say “Ready to Mail?”

Note:  If it says “Ready to Mail” or “Printed” that means YOU have to mail it yourself.  TurboTax does not mail your tax return for you.

First, check your e-file status to see if your return was accepted: 

https://turbotax.intuit.com/tax-tools/efile-status-lookup/

Once your federal return has been accepted by the IRS, only the IRS has any control.  TurboTax does not receive any updates from the IRS. Your ONLY source of information about your refund now is the IRS.

You need your filing status, your Social Security number and the exact amount  (line 35a of your 2021 Form 1040) of your federal refund to track your Federal refund:   

https://www.irs.gov/refunds

To track your state refund:    

https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund

https://ttlc.intuit.com/questions/1901548-why-do-some-refunds-take-longer-than-others

If you chose to have your TurboTax fees deducted from your federal refund, that will take some extra time, while the third party bank handles the refund processing.

https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions

https://ttlc.intuit.com/questions/2840013-does-accepted-mean-my-refund-is-approved

https://ttlc.intuit.com/questions/2724106-my-return-is-accepted-but-still-not-approved-is-there-a-problem-should-i-be-worried

OR——if you filed by mail, expect a long wait.   It is taking the very backlogged IRS six to nine months to process mailed returns.   Until a human opens your envelope and enters the data into the system, nothing will even show up on the refund site, so you will have to be very patient.

If you mean something else----please post back and explain.