At just 20 years of age, the highly-rated midfielder is already into a fourth season as a senior star at Borussia Dortmund.
He has made over 100 appearances for the Bundesliga club and has become a leader for his country just 23 caps into a promising career.
Big things are expected of Pulisic, and it is expected that his full potential will be unlocked outside of Germany.
He told Cowherd: “There are teams all over the world that would love to have Christian Pulisic right now.
“I think he’s done a great job in going over to Germany, he’s done a great job at Borussia Dortmund.
“But I think it’s time for a change right now for Christian Pulisic, and a change to an even higher profile team.”
Lalas added of a man being charged with the task of helping America to recover from the disappointment of failing to reach the 2018 World Cup: “[Pulisic] is one of the phenoms in the world, he just happens to be American.
“There’s going to be pressure to win, and to deliver. He’s a very young player so he’s still getting better.
“He’s still physically growing, he’s growing as a soccer player. There’s a lot of pressure on his shoulders to lead us [USMNT] into the Promised Land.
“But if you’re the man, you’re gonna take it and say: ‘Yeah, on my watch, we’re going to make sure we qualify for the next World Cup. I am going to lead this team by example’.”
Pulisic’s current contract with Dortmund is only due to run until the summer of 2020, so they may be forced into a sale at some point.
They can demand a hefty fee for his services at this stage, but the strength of their hand in talks will start to wane as terms run down.