Parmlid was born in Gothenburg, Sweden and educated at Göteborgs Högre Samskola and Chaparral High in Scottsdale, Arizona. In 1997 she won the Swedish High School Championship, and she was the 1998 Nordic Junior Champion and the 1998 Teen Tour Champion. In 1999 she was the low amateur at the Chrysler Open, an LET event, and she was the low amateur at the Compaq Open, also an LET event, for four consecutive years 1999–2002.[2]
Parmlid turned professional in 2003 and earned her card for the 2004 LPGA Tour at Q-School. She made her first major cut at the 2006 LPGA Championship, where she opened with a round of 69 and finished tied 54th. She recorded an LPGA career-best tie for eighth at the Jamie Farr Owens Corning Classic in 2009, where she also carded a career-low 62 (-9) in the third round.[7]
In the 2013 Women's British Open at the Old Course at St Andrews Parmlid shot two opening rounds of 69 to sit in solo 7th place heading into the weekend, but eventually she succumbed to the windy conditions and finished tied for 36th.[9][10]