The youngster scored his first Premier League goal against Everton on Saturday.
The youngster has broken into the Arsenal first team squad this season after impressing in the youth setup.
He had had to contend himself with FA Cup appearances for most of the campaign, with Arsene Wenger not risking the young starlet.
However that changed this week as he was handed a start against Barcelona in the Champions League, and then followed that up with a goal against Everton in his first Premier League start.
And Wright is now hoping that the youngster can put pressure on the likes of Walcott and Oxlade-Chamberlain moving forward.
“[His display] leaves them having a real hard think about themselves and it’s not come too soon,” he told BT Sport.
“I’m delighted, I think Arsenal have needed that for many years. People coming into the squad who are going to put pressure on players that people think are not pushed hard enough.”
“That is why Arsenal get the stick they do, there’s a lot of comfortable players there. He’s going to come in and make people start thinking about themselves.”
It will now be interesting to see how much game time Iwobi is now given between now and the end of the season.
The likes of Walcott and Giroud have struggled in the second half of this season, and Iwobi has come in and impressed in that period.
He also seems to be developing a dangerous partnership with Danny Welbeck up front, something else which may convince Wenger to stick by him in the games remaining.