The COVID-19 list was created this summer for a player who either tests positive for or who has been quarantined after having been in close contact with an infected person or persons.
Players will remain on the list until they are medically cleared to return.
Hitchens, 28, is a former fourth-round pick of the Cowboys back in 2014. He signed a five-year, $45 million deal with the Chiefs in 2018 that included $25 million guaranteed.
Hitchens is in the third year of the deal and set to make base salaries of $5.8 million and $7.8 million the next two seasons.
In 2020, Hitchens has appeared in 14 games for the Chiefs and recorded 78 total tackles, no sacks and one pass defense. Pro Football Focus has him rated as the No. 64 linebacker out of 89 qualifying players.