The previous meeting between the sides saw Scotland on the wrong end of a 5-1 thrashing in Jacksonville as Landon Donovan scored a hat-trick for the USA.
However, it was a much quieter affair in Glasgow as neither side was unable to break the deadlock.
Scotland's best chance of the game came from a Robert Snodgrass free-kick as the Norwich City forward's curled effort was parried away by USA goalkeeper Tim Howard.
Strachan made several changes ahead of the friendly and was impressed by his new introductions, especially 32-year-old debutant Gordon Greer in defence.
After failing to make the 2014 World Cup in Brazil, Strachan will be focused on the 2016 European Championship and believes there are signs of advancement with Scotland now unbeaten in their last three outings.
"There were a couple of things which reaffirm we are progressing and others we can work on," he told Sky Sports.
"We made changes but their changes threw us a bit, they're a strong, physical side.
"I was happy with the players who came in. Gordon Greer did well, really happy with what he did."
Next on the agenda for Strachan is a trip to Norway which he expects will again challenge his players but insists there are positives to be taken from a draw against a USA side ranked 13th in the world.
"We have Norway on Tuesday and we know that will provide a different test," he added.
"Again a physical side but we'll change it about a little bit, give some of the lads who haven't had a game recently a run.
"It's not a bad result. A lot of players can go away from here thinking that wasn't bad.
"As a group I think we can do better, I think if we are to beat top teams, our passing must be spot on. If we can do that, we'll give most teams a game."