Rooney was appointed DC United manager earlier this week and is looking for ways to bolster his side, who are second from bottom in the Eastern Conference following a crushing 7-0 defeat to Philadelphia Union last week.
Suarez is a free agent, having departed Atletico Madrid at the end of the 2021/2022 season.
The 35-year-old has been linked with a number of clubs in the Major League Soccer, including Rooney's DC, but the former England and Manchester United captain is adamant Suarez is not the right fit for his side at this moment in time.
“I respect Luis Suarez a lot – he’s an incredible player – but what I want players who are hungry," he said in a press conference.
"I want players to come to this club who are hungry and who want to come to the club but also have a lot to give and are capable of playing every game, attending every training session.
"So we’re working extremely hard to identify the right profile of players we want to bring in and I’m sure in the near future, we’ll have an announcement to make on new signings.”
Suarez scored 21 goals in 32 games to help Atletico Madrid win the La Liga title in his debut season but added just 11 more from 35 appearances last term for the Rojiblancos.
