The former Fulham boss and his side have recorded three defeats in their first four Group A 2014 World Cup qualifiers, including a heavy 6-1 loss to Serbia.
"My contract is until the end of the qualifying games and I'm looking to see that through," Coleman told BBC Sport. "I've had six games, [I'm] yet to have our strongest team on the pitch, one game [was] really bad - Serbia.
"Let's say we were three or four games in and we'd won every game, and let's say financially a better offer came my way from a big club. I wouldn't walk away because it leaves my country in a bit of a predicament."
Coleman took charge of the national side following the suicide of former boss Gary Speed last year.