Arroyo, spotted by Liverpool scouts at the 2017 under-20 South American Youth Championship with Colombia, has been sent on three separate loans.
The Liverpool Echo says a search for a British work permit remains ongoing.
Now with Salamanca in Spain's Segunda Division, Arroyo says: “The truth is that it is my goal, my wish, my dream to be able to make my debut for Liverpool," he said previously.
“My future goal is to play for Liverpool and to be able to consolidate myself in the first-team. It is what I have longed for since I signed for the club, and I hope that dream comes true."