Former Portugal international Boa Morte, who played in the Premier League with Arsenal, Fulham and West Ham, made the surprise move to the the Proact Stadium in October.
The 35-year-old forward made nine starts and four substitute appearances during his time in Derbyshire.
Spireites manager Paul Cook said: "Luis has been a model professional during his time with us and we thank him for his efforts but we have decided against extending his stay."







