Manaj was brought to the Camp Nou in 2019, after a eye-catching spell with Albacete, but he is yet to make an impact on the La Blaugrana first team.
According to reports from Marca, Barcelona are prepared to offload the 25-year-old, as he enters into the final year of his contract.
Getafe are interested in a season long loan but they face growing competition from former side Albacete and loan club Spezia.
Spezia have declined to activate their €2.7m purchase option on him but they are interested in a loan renewal.
Barcelona will push for a full transfer, if possible, with Getafe already quoted €2m as part of provisional talks.