The 58-year-old, who previously spent five years in charge of the USA national team, was presented to the media this afternoon for the first time since his appointment at the Liberty Stadium.
The former Le Havre boss has claimed that his becoming the first American manager in the Premier League could help boost the game in the US, but he has insisted that he is not a pioneer.
"The American stuff I can cover in 30 seconds, then I can push that out the door," Bradley told reporters in the press conference. "With football in the United States we have always understood we have to earn respect.
"When I was with the national team, every time we got a chance to play in Europe, the players and I would understand, 'Today is one more day where we can show what the game is like in our country.' So in some ways this helps. I am proud what I have been able to do. This stuff about pioneer. I'm not an American manager. I'm a football manager."
Bradley's first game in charge of Swansea will be away to Arsenal on October 15.