Ivory Coast international Gervinho played a key role as Lille won the Ligue 1 and Coupe de France double last season, contributing 15 goals and 10 assists in the league alone.
Tottenham have also been credited with an interest in the player and free-spending Paris Saint-Germain have asked about the 24-year-old but his current club are not keen on selling to a domestic rival.
Paquet told RMC: "He wants to go and has developed contacts with Arsenal.
"We will soon have talks with them and see what they offer.
"He has expressed a desire to go to England and we will see what happens."
The link with PSG was a non-starter insists Paquet, who added: "Paris Saint-Germain inquired but we are not thinking about strengthening a competitor."
Although Lille will entertain the idea of selling Gervinho, their stance is different on Eden Hazard. Paquet has described the 20-year-old Belgian as "untransferable".