Possibly Cavaliere Francesco Baiardo, 1486 - 1561, by inheritance to his grandson, Marcantonio Cavalca. The inventory, drawn up around the time of Baiardi's death, includes a sheet described as "no. 239. un' disegno d'una testa d'un' giovine col'colo, fatta di penna finito del Parmesanino alto 0.3," which can be identified as a drawing under discussion.
Source: "Appendix I: Inventory of the Pictures, Prints and Drawings of the Cavaliere Francesco Baiardo (d. 30 September 1561)," in A. E. Popham, Catalogue of the Drawings of Parmigianino, New York, 1971, vol. 1, p. 286, no. 239.
Marcantonio Cavalca, presumably still in his collection when Giorgio Vasari visits him in 1566.
early 20th century
Private Collection, by inheritance within the family.
Private Collection (Philadelphia) [sold, Old Master and 19th Century Drawings, Christie's New York, January 23, 2002, lot 17, to Jean-Luc Baroni Ltd., London]
Jean-Luc Baroni, Ltd., sold to private collector, 2002/2003.
Private Collection, St. Peter Port, Guernsey, sold to the J. Paul Getty Museum, 2017.