Martins is on loan from the Russian side until the end of the season and is set to face his former club Newcastle on Tuesday evening.
Martins said: “Would I like a permanent move? Yes, why not. Birmingham is a big club and the team is doing well.
“If everything goes well then, of course, I’m going to stay.
“I was keen to play Premier League football again. It is one of the best leagues in the world.
“It doesn’t matter to me that Birmingham aren’t the biggest team in this division.
“They’re not the smallest team either. I wanted to come here and play for them. This is a great opportunity.
“I just want to fit in as soon as possible, start scoring goals and be happy here.”
He added: “The Nigerian fans will be very happy to see me playing in the Premier League.
“There are 150 million people and many of them watch Premier League football on TV.
“When I was playing in Russia, people kept telling me I had to go back to the Premier League so they could watch me more often!”