The Brazil international has scored four goals in three Ligue 1 games, prompting talk of a possible extension of his temporary stay.
Seeking more first-team minutes after just three appearances for Real this season, the 19-year-old has impressed under Paulo Fonseca.
Endrick marked his debut with a goal in Lyon’s 2-1 Coupe de France win over Lille and followed up with a hat-trick in a 5-2 league victory at Metz, while leaving the door open to staying longer.
“Only God knows what will happen, whether he'll tell me to stay here or not. Nobody knows what tomorrow will bring,” he told L’Equipe.
“Discussing how his brief time with Lyon has already proved to be a rousing success, Endrick added: “My adaptation has been almost perfect.
“Since I arrived, the communication with my teammates and the staff has been excellent. I'm truly grateful for their daily support. I now hope to improve a little more with each match, so that by the end of the season we can achieve our objectives.”