The Pilgrims, who have not played in the second tier of English football since the 2009-10 season, were relegated into League Two in 2011 following a host of financial problems.
However, Brent has said that the Devon club can begin to rise through the divisions once more.
"We do believe it's a Championship club and there's the capacity to do that sustainably," he told BBC Spotlight.
"We'd clearly like to see the club move back to the Championship - that's the direction of travel. But we've deliberately not put pressure by saying we have to achieve promotion this season.
"But [manager] John Sheridan is incredibly competitive and puts pressure on himself to excel."
Plymouth begin their League Two campaign away at Southend United on Saturday.