The Cameroon midfielder has signed for the Scottish Premiership side until the end of the season and is hopeful the deal will help him book a place in the squad for this summer's World Cup finals in Brazil.
Djemba-Djemba, 32, who has been out of professional football since being released by Partizan Belgrade towards the end of last year, said: "Why not? I just need to show that I can still do it on the pitch.
"I want to enjoy myself, play well with my new team-mates and I hope the manager of Cameroon will think about me."
Djemba-Djemba, who also had a spell in the Premier League with Aston Villa, has not played for his national side for two years but believes he can impress coach Volker Finke over the next five months.
"You know in Cameroon we change managers like we change shirts," he said. "I hope he will think about me if he needs my experience.
"I played in the team for eight-and-a-half years so if he needs me I will be happy to pull on the Cameroon shirt, because it's a dream for everyone.
"I hope he will think about it but the decision is in my hands. Now I need to work, play and try to be called up for the World Cup."
On the challenge of playing in Scotland, the much-travelled midfielder, who has also played in Qatar, Denmark, Israel and Serbia, said: "For me it's a great league and they are also in the cup so it's a good challenge.
"The Scottish league is similar to the English league so it's a great move. African people will see me again in British football, so I like that."
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