The 22-year-old has been in impressive form for the Major League Soccer side since breaking into Gregg Berhalter's set-up last month.
He has played five league games and scored once so far, and has also had the privilege of playing under the watchful eyes of the Black Stars' boss in a 1-0 triumph over Philadelphia Union.
"It was great [to have Appiah visit]," Lalas told KweseESPN.
"He came at the right time and I had my opportunity to show him what I am capable of.
"I wanted to show him what I got by simply doing well.
"I thought I played really well in that game, so hopefully I have made my case for a call-up."
The centre-back is among a crop of African players to have moved to Major League Soccer in the wake of a recent facelift.
His team alone boasts of three other Ghanaians, namely Jonathan Mensah, Harrison Afful and Mohammed Abu.
"MLS has developed now and I think I can develop playing in this league," Lalas added.
"There are 11 international players in our club who have had great careers in Europe.
"I think I can get better here."
Kumasi-born Lalas will, however, have to wait for another month to test his luck as he has been snubbed in Appiah's 24-man squad named for the next week's 2018 World Cup qualifier against Congo.