The Portuguese stopper is nearing a move to the cash-strapped Spanish club after enduring a frustrating last season with the Russian champions
The Portugal international has the subject of a rumoured move to the Zaragoza since last summer, when the Spanish side first baulked at the 33-year-old's transfer fee.
However, the two clubs now appear to be edging closer to an agreement for Meira, who joined Zenit from Galatasaray in 2009 for €4.5 million.
The centre-back has been a fringe figure at Zenit since the arrival of compatriot Bruno Alves from Porto last summer, and is looking to move on as a result.
"Yes, Meira will effectively be transferred to Zaragoza. He needs playing time, so he cannot stay in the team," AS quote Spalletti as saying.
The former Benfica and Stuttgart man is regarded as a replacement for Matteo Contini, who has been loaned out to Siena.