The Spaniard has seen opportunities limited for regular first-team football in his debut season at the Emirates.
Ahead of last night’s 2-0 FA Cup triumph at Sutton, in which Lucas opened the scoring, his agent was claimed to have suggested his future lies away from Arsenal.
Rodrigo Fernandez Lovelle reportedly told Calciomercato: "The matter is that Lucas want to leave at all costs and is not happy at Arsenal.
"He hasn't settled and hasn't had the chance to play and show what he can do.
Lucas Perez is said to be looking to leave Arsenal just a year after signing
"No matter who will be the coach, we want to go. The player must have an opportunity to play."
Lovelle has since denied saying the striker wants to leave but admits Lucas is not happy when not getting game time.
The 28-year-old, signed for £17million from Deportivo La Coruna last summer, has had to contend with playing second fiddle to the likes of Alexis Sanchez and Olivier Giroud.
Arsene Wenger has revealed Lucas is seeking more minutes, and accepts his goalscoring form when called upon means he should be featuring more.
Lucas Perez opened the scoring for Arsenal at Sutton – his seventh Gunners goal in all competitions
Arsenal's FA Cup player ratings against Sutton United
Mon, February 20, 2017
Express Sport brings you Arsenal's player ratings from their FA Cup clash with non-league side Sutton United
1 of 11
David Ospina – 6.5
Arsene Wenger says Lucas Perez is pushing on the door at Arsenal
He is pushing on the door but I have many strikers
“Yes, he is pushing on the door but I have many strikers,” Wenger said.
“I have Giroud, Welbeck, Walcott, Alexis and Lucas.
“It is true that he deserves a go because he scores goals and is a good player.”
The Arsenal boss gave no indication he wants to offload the former La Liga star at the end of the season.