https://search.ftc.gov/search?affiliate=ftc_prod&query=Broadcom+vmware&commit=Search
If you search Broadcom VMware on the FTC website, nothing shows up.
After HSR waiting period has passed without challenge, FTC is green light until/if they decide to file a lawsuit (of course no guarantee they will). And no the HSR waiting period is not a deadline for FTC. If you want to learn more about that read the following page:
https://www.natlawreview.com/article/ftc-under-pressure-tidal-wave-hsr-filings-to-begin-issuing-close-your-own-risk
The only way to be 100% assured is if they gave explicit approval like consent order or letter of no contest.
If Broadcom has gotten those there is no way they wouldn't have mentioned it. They would also be saying they have "received" US/FTC approval instead of tiptoeing around the question with a vague statement like "there is no legal impediment to close the deal". Basically legal until it isn't situation.
Let me give you example of recent deals that FTC decided not to challenge and gave consent order.
https://www.ftc.gov/legal-library/browse/cases-proceedings/231-0037-amgen-inc-horizon-therapeutics-plc-matter
https://www.ftc.gov/legal-library/browse/cases-proceedings/221-0142-intercontinental-exchange-incblack-knight-inc-matter
It's been like 2 months since Broadcom said there is no issue in the US. Why didn't FTC have any updates for literally second largest and very conroversial tech deal in history?