Alvin Greenidge was one of those players who came into the West Indies team in the face of the departure of the top cricketers to Kerry Packer's World Series Cricket in Australia during the 1970s. An opening batsman, he marked his introduction to Test cricket with half centuries in his first two matches when Australia toured the Caribbean in 1978. He maintained his place for the tour of India later in the year, but struggled and was replaced when the Packer players returned and were taken back into the squad. While playing club cricket in Holland in 1980, he was again called up to the West Indies side which was stricken with injuries. His international career ended when he toured South Africa in 1982/1983 with the "rebel" West Indies team. Since then, Greenidge has been involved in coaching younger Barbadians teams.