He described the move as “an incredible opportunity for something different and exciting” in the city centre.
In March, Small told the Local Democracy Reporting Service the two-acre (0.84-hectare) site was a “prime location” for a leisure or food and drink offering.
It includes a basement, ground floor and mezzanine level.
The council described it as suitable for uses including retail, leisure and entertainment, adding that it was working alongside real estate advisor, Avison Young.
Joel Lawson, director at Avison Young, said: “Its scale, prominence and location – immediately adjacent to Liverpool Lime Street and Central Station – make it an exceptional opportunity for a wide variety of potential occupiers.”