Armas is a former New York Red Bulls and Toronto FC manager and recently took up the coaching position in the United dugout alongside interim boss Rangnick.
The pair are already looking at strengthening the team in the January transfer window with right-back and midfield seen as priority areas to target.
With United concerned they may miss out on the England international, they could turn their attention to RB Leipzig player Adams.
Armas is a big admirer of the 22-year-old having worked with him at New York Red Bulls and his versatility in being able to play as a right-back and a midfielder appeals.
The USA international has been with the Bundesliga side since joining in 2019 and has become a regular under Domenico Tedesco.
Adams is under contract with RB Leipzig until the summer of 2025 and it’s not yet known if they would be open to selling if United made an offer.
For now, it seems Diogo Dalot has taken the right-back spot off Aaron Wan-Bissaka with the Portuguese starting both of Rangnick’s league games so far.
Recent reports had suggested Jose Mourinho was plotting a reunion with Dalot at Roma next month but Rangnick is keen for him to stay at Old Trafford.
For more stories like this, check our sport page.
Source: Metro Sport