Arsenal was given until FRIDAY to complete the signing of Houssem Aouar by Lyon President Jean-Michel Aulas.
The midfielder was reportedly hit with £ 32million from the Gunners on Thursday, but the Ligue 1 side want closer to £ 54million. Club captain Pierre-Emerick Aubameyang even publicly backed the signing.
Aulas, who is renowned for his good deals, is also aware of the interest in Moussa Dembele and Memphis Depay.
And the owner and president of Lyon told Culture Foot: “On Friday, the players who have not left will not leave.”
The 71-year-old is convinced the Premier League side do not have the financial capacity to secure a deal for the France Under-21 international.
Aulas told French channel Le Progres: “Financially, Arsenal is like everyone else.
“And Houssem could tell himself that it would be best to stay with us.
“From the start I said that we would not lose the three players announced every day in the newspapers [Aouar, Dembele and Depay]. “
A five-year deal has already been reached according to reports, with personal conditions not expected to be an issue.
The 22-year-old is apparently keen to move to the Emirates, although his current club have rejected a swap deal with sporting director Juninho having no interest in signing Matteo Guendouzi.
Mikel Arteta is keen to sign a midfielder this month, with Atletico Madrid midfielder Thomas Partey also under consideration with La Liga side struggling financially.