Final answer:
The Morava river flows through the region of Moravia in the Czech Republic, which became independent following the dissolution of Czechoslovakia in 1993.
Step-by-step explanation:
The country that has the Morava river flowing through its region of Moravia is the Czech Republic. Historically, the area now known as the Czech Republic was referred to as Bohemia and Moravia.
When Czechoslovakia, which was once a single country comprising the modern-day Czech Republic and Slovakia, dissolved on January 1, 1993, the Czech Republic became an independent nation. The Morava river is significant because it runs through this historic region of Moravia in the eastern part of the Czech Republic.