Zakaria is surplus to requirements at Juventus and the club are keen to offload him in the ongoing transfer window.
The midfielder is also a big target for West Ham who are eyeing bringing in two new midfield men this summer.
But the Hammers have been unable to reach an agreement with Juventus as the two clubs are yet to see eye to eye on agreeing a loan deal.
However, according to French journalist Ignazio Genuardi, Lens are considering trying to sign him on a permanent deal.
The French club have money to spend after they sold Seko Fofana to Al Nassr for a fee of €25m earlier this week.
West Ham are still haggling over whether to have an option to buy or an obligation in a loan deal to sign Zakaria from Juventus.
Lens are considering tabling a straightforward bid to sign the midfielder on a permanent transfer.
Juventus are likely to prefer a simple transfer deal as they want to raise some funds from Zakaria’s departure.