Bacary Sagna thinks Olivier Griroud has show a great "desire" to improve this season.
The French forward has been in fine form in front of goal, scoring five times in nine appearances so far.
"We need to give him time and I think he will improve even more, and be more decisive"
Giroud also provided the assist for Aaron Ramsey's goal against Swansea on Saturday and his compatriot Sagna said his thirst for knowledge is helping him get better.
"He is always questioning himself," said Sagna. "He knows what he did well and what he did wrong. He tries to work on it during training sessions and tries to communicate with the boss.
"He is a very good player, good physically in front of the goal and finishes well. We need to give him time and I think he will improve even more, and be more decisive.
"Even with his English, he improved a lot and that makes a big difference."
Arsene Wenger agreed with his right back and says he is not surprised by the 27-year-old's improvement this season.
"I am never surprised by the improvement of the players, because that gives you the feeling that we are doing the right things, so I do not want to diminish that too much.
"For him, the jump from Montpellier to Arsenal was quite big. In the first season, it is always quite difficult."