The 22-year-old had been drawn to play Slovenian Aljaz Bedene in the opening round.
Italian 17th seed Matteo Berrettini has now moved into Coric's spot in the draw with Canadian Brayden Schnur gaining a place in the first round as a lucky loser.
Coric injured himself at Halle this month where he withdrew in his quarter-final match.
He will receive half of the 45,000 pounds he would have received for losing in the first round.
(Reporting by Martyn Herman; Editing by Christian Radnedge)
