The 23-year-old failed to make an impact at the Merseyside club after scoring just one goal in his eight appearances during a four-year spell.
According to British media reports, Teixeira rejected a new deal offered by Liverpool as he hoped to resurrect his career following a lack of first-team opportunities at Anfield.
The Reds, however, will be entitled to a training compensation fee despite the Portugal under-21s international leaving upon the end of his contract.
(Reporting by Shravanth Vijayakumar in Bengaluru; Editing by John O'Brien)