Green sent a letter on Thursday, calling Field's allegations during a radio interview last week "disgraceful."
The claim is partially tied to a 35 million pound floating charge by Arcadia in 2015.
Taveta is the parent of Green's Arcadia retail group, which comprises fashion brands Topshop and Topman.
Green put an end to a long-standing drama, paying up to 363 million pounds.
The deal is in partnership with Chinese online retailer Shangpin.com.
Oddy has announced his resignation after less than two years in the job.
Staff voted to strike over a dispute concerning their hourly wage.
Taxes relate to profits taken from BHS following last year's acquisition of the retailer.
The regulatory body had launched an investigation into BHS in March.
Taveta Investments hires lawyers to scrutinize parliamentary report.
BBC's Panorama program reveals bonuses made to top BHS staff.
Al Mana bought BHS brand and international franchise business following the retailer's collapse.
Jane Shepherdson exits Whistles while Darren Topp joins L.K. Bennett.
Green issued a statement in response to press, parliamentary comments.