flagged(The US Pentagon has confirmed that Iranian forces have boarded the Marshall Islands-flagged container vessel MV Maersk Tigris in the Persian Gulf.VLZ_58)
under the flag(of): Many southerners in North Vietnam were dispatched to the South, fighting under the flag of the NLF. • When Australia became involved in the Vietnam War, the RAN was effectively fighting under the flag of another, uninvolved nation. • ...those same folks will still be working for your organisation, only under a different flag.4uzhoj)