"Rafa's Summer Set" will take place in Melbourne and also include Mark Philippoussis and junior champion Omar Jasika.
The tournament replaces Dusseldorf and is Switzerland's third on the ATP calendar.
Rodriguez worked with Li Na in 2014 and, before that, Justine Henin.
"I know if I get to 19, the second it happens I will be thinking of 20," said the 18-time Grand Slam champion.
The Frenchman is considering working with Gilles Simon's coach, Jan De Witt.
Our 2014 gift guide for the tennis reader in your life.
Novak Djokovic's five-set win over Roger Federer at Wimbledon was the best match of 2014.
Two doubles teams deserve credit for a critical point won by Switzerland.
The Swiss have much to think about after Friday's singles split with France.