Arsenal are interested in signing Gonzalo Higuain from Napoli, according to Sky sources.
Sky in Italy has reported that no offer has been forthcoming from the Gunners, but say "intermediaries" have been in contact with the Argentina striker's brother who acts as his agent.
Higuain - top scorer in Serie A last season with 36 goals - would cost Arsenal a club record fee. That has led to speculation in Italy that Giroud may be used as part of a player-plus-cash deal.
Giroud's agent - asked about the possibility of moving to Napoli - told Radio CRC that the France international would enjoy playing for the Serie A club.
The agent, Mickael Manuello, said: "There is no fear in Olivier going to Napoli, it is a magnificent city.
"In Campania, my client would lead a wonderful life, not to mention that the type of game orchestrated by Napoli coach Maurizio Sarri could enhance the quality of a centre-forward like him."
He added: "At the moment, Giroud is an Arsenal player. If he was asked to leave, then we would evaluate our options."