Alarcón was born and raised in Guadalajara, Jalisco, Mexico, playing golf from young age at Guadalajara Country Club, one of the oldest golf clubs in Mexico.[2]
Alarcón qualified for the 1983 PGA Tour season.[1][6] Alarcón never won on the PGA Tour, to match Cesar Sanudo and Victor Regalado, who, at the time of Alarcon's active career, were the only native Mexican golfers to have done so. Alarcón's best finish was tied 19th at the 1997 Kemper Open.
Two years in a row, 1995 and 1996, Alarcón finished runner-up in a tournament on the American second-tier Nike Tour, later named the Korn Ferry Tour, namely the Nike Monterrey Open, played in his home country of Mexico. In 1995, winner Stuart Appleby needed seven extra playoff holes to beat Alarcón.
Alarcón won the 1990 Mexican PGA Championship and led the Mexican PGA Tour in earnings 1989−1992.[7]
On 1 December 1997, Alarcón won the Compaq World Putting Championship by Dave Pelz at the Bonnett Creek Golf Club at Walt Disney World in Orlando, Florida. He beat Spike McRoy on the second sudden-death playoff hole, winning a first prize of $250,000. Second prize was $50,000.[8]
After mainly retiring from competition play in 1997, Alarcón made a few tournament appearances in Latin America and worked as a coach for Lorena Ochoa.[10] When Ochoa, also a Guadalajara native, was 11 years old, she approached Alarcón and asked him to coach her. During his time as her coach, she won 27 LPGA Tour titles, including two majors and reached number one on the Women's World Golf Rankings, before she retired at 28 years of age.[11][12] After her retirement, he has been coaching at Lorena Ochoa's Golf Academy.[13]
Alarcón also worked as a golf course designer, together with Carter Morrish at Alarcon Morrish Golf Course Design.[14]