The flight would leave at 9:45 a.m. and reach Washington Dulles Airport at 3:45 p.m. local time, the U.S. embassy said.
Only U.S. passport holders can fly and the fare will be determined by Vietnam Airlines.
Those interested should register by 5 p.m. Thursday, the embassy said.
Vietnam has been grappling with a new coronavirus wave with 8,088 cases reported in 40 of its 63 cities and provinces since it broke out seven weeks ago.
Last year Vietnam Airlines operated dozens of flights to ferry home American citizens.
Vietnam suspended all international flights in March last year as a Covid containment measure and thousands of foreigners are stuck in the country.