Zelalem, 18, is on loan at Rangers until January as it stands, but the Gers could look to extend that deal until the end of the season once the current deal ends.
The United States Under-23 international has impressed with his passing and composure in possession whilst playing for Warburton's men this season, but one major aspect is missing from his game.
Zelalem, formerly of Hertha Berlin, has yet to find the back of the net for Rangers, with fans still desperate to see the playmaker add goals to his game.
If Zelalem is to fulfil his considerable potential, he must start to become more of a threat in the final third - and the player certainly realises that.
Speaking to the Rangers official website, Zelalem admitted that he needs to score more goals, and revealed that manager Warburton has been telling him to improve his end product in front of goal.
The teenager also added that he has been learning from experienced players such as Kenny Miller and Lee Wallace this season, as he looks to develop in Scotland before returning to Arsenal.
"I know I need to add goals to my game if I want to be the player I know I can be, and I need more of an end product too," said Zelalem. "I get told that by the gaffer, and I absolutely agree. I want to improve in every game and every day in training, and he keeps my feet on the ground and helps me along."
"That goes for all the coaching staff and the players too. It helps having so many people around who are of your own age. You can interact with them more, but even guys like Kenny Miller and Lee Wallace, you can talk to any time you want," he added.