But the Swedish group said it has not signed up for the Park House scheme, which is the biggest development in Oxford St for 40 years.
The property giant Land Securities sold Park House to the Qatari investment firm Barwa in July 2010 for £250 million ($495 million), as well as a profit share on completion.
Inditex, which also operates the Stradivarius, Oysho and Uterqe chains, has a total of 5527 stores in 82 countries.
Based in Spain's Coruna, the group delivered profits of €1.93 billion ($3.1 billion) last year, on turnover of €13.8 billion.
H&M, which also owns the H&M Home, Cos, Monki, Weekday and Cheap Monday brands, has nearly 2500 stores in 44 territories.
Revenues in the year to November 30 were 110 billion Swedish krona on profits of 15.8 billion krona ($2.8 billion).
- INDEPENDENT