Arda only joined Atletico last summer but has already established himself as a key member of the Rojiblancos.
And the 25-year-old is of the belief that Turkey team-mate Burak would be a perfect addition to the club.
"They [Atletico] should bring him here without thinking," Arda told AS. "He's the Thierry Henry of Turkish football."
Arda believes Burak's goalscoring record at Trabzonspor speaks volumes of his talent, and is confident the 26-year-old would be a hit in La Liga.
"[He's not playing] in the Spanish league, but you don't score 25 goals [in the Turkish Super Lig] by chance," Arda added.
"He has a good shot, is tall and works hard. Atletico would do well to buy him."
Arda will be looking to continue his good run of form when Atletico travel to Racing Santander on Saturday.