Ivan Gazidis, Chief Executive Officer of Arsenal FC
Leicester City's Danny Drinkwater, Jamie Vardy and Robert Huth with the trophy on the bus during the parade
Arsenal finished 10 points behind Leicester City, while scoring three fewer goals, despite beating the Foxes home and away.
Gazidis said: "Leicester’s achievement is incredible but it may not look so exceptional when we look back in four or five years."
There are a couple of ways to take this; that more Premier League teams will upset the odds and land the title - or that Leicester will go on to prove that their victory was not a one-off.
Arsenal manager Arsene Wenger and Chief Executive Ivan Gazidis (L) before the game
Gazidis went on to claim that Arsenal are determined to win big trophies, including the Champions League, which they once again have qualified for.
He said: "We are very driven to take a further step and deliver trophies domestically but, ultimately, in Europe."
The Premier League itself will be a lot more difficult for the Gunners next season with a number of big name new managers taking charge of new clubs, but this could give Arsenal an edge thanks to the stability their side have under Wenger, while others battle to adjust.
Olivier Giroud scores the first goal for Arsenal
What do you think of Gazidis' comments?