The former Buccaneer has made his return to the South African top flight with the intention of winning titles with the Soweto club
The former Nigerian international started pre-season with his new team-mates on Friday, after returning from the United States last week.
Okonkwo left Pirates in 2007 to join Swiss club FC Zurich, before returning to South Africa this year, via Qatar. After a trophyless first spell with Pirates, he says he hopes his return will be successful.
"I am a winner by nature and the reason I joined the team the first time was because I wanted to win things with the team," Okonkwo told Pirates' official website.
"Unfortunately it didn't happen. We came close a couple of times but luck deserted us at the last minute.
"Things have changed a lot since I last played here, the team has done exceptionally well in the last two seasons. I hope the little experience I have gained while playing overseas can assist the club reach even greater heights this season."
Okonkwo says he is aware of the challenges that lie ahead, in terms of breaking into Bucs strong midfield.
"I am a believer in hard work," the 30-year-old said.
"Coaches all over the world will select players based on what they produce at training and on the playing field, so I don't think I will have a problem with fitting in so long as I do enough to impress the technical team.
"This is the first week of a new chapter in my life as a footballer and I am looking forward for a great time here."