Centre back Radoi, 33, who plays for Al Ahli in the United Arab Emirates, quit the national team after a confrontation with then-Romania coach Razvan Lucescu in 2010.
Lazio left back Radu, 28, retired from international football last year citing "personal reasons".
Radoi, capped 67 times between 2000 and 2010, can also play as a defensive midfielder while Radu, who has featured 14 times for Romania, can operate at centre back.
"I'm interested in any player who can help the national team," Iordanescu told local media on Thursday. "Radoi and Radu proved they're players who can produce top performances.
"I want to talk to them but I'll not have telephone conversations (with them). I want to meet them."
Unbeaten Romania top Euro 2016 qualifying Group F with 10 points from four matches.
Iordanescu took over as Romania coach for a third time in October and has guided them to a 2-0 qualifying win against surprise package Northern Ireland before they outclassed Denmark by the same scoreline in a friendly in Bucharest.
"There are no major changes in the team in my first two matches in charge because only a fool would do that so soon after taking the post," said Iordanescu. "But now I want to bring new players to the national team."
He guided Romania to the 1994 World Cup quarter-finals, their best tournament finish, Euro '96 and the 1998 World Cup. They reached the Euro 2000 quarter-finals under Emerich Jenei.
The 64-year-old Iordanescu said he would organise a training camp for home-based players during the 2-1/2 month domestic winter break before the league resumes in February.
(Reporting by Angel Krasimirov in Sofia, Editing by Tom Hayward)
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