Harry Connick Jr. was born and raised in New Orleans, Louisiana. His mother, Anita Frances (nee Levy; later Livingston; May 22, 1926 - July 1981), was a lawyer and judge in New Orleans and, later, a Louisiana Supreme Court justice. His father, Joseph Harry Fowler Connick Sr., was the district attorney of Orleans Parish from 1973 to 2003. His parents also owned a record store.

With Connick's reputation growing, director Rob Reiner asked him to provide a soundtrack for his romantic comedy, When Harry Met Sally... (1989), starring Meg Ryan and Billy Crystal. The soundtrack consisted of several standards, including "It Had to Be You", "Let's Call the Whole Thing Off" and "Don't Get Around Much Anymore", and achieved double-platinum status in the United States. He won his first Grammy Award for Best Jazz Male Vocal Performance for his work on the soundtrack. Connick made his screen debut in Memphis Belle (1990), a fictional story about a B-17 Flying Fortress bomber crew in World War II. In that year he began a two-year world tour. In addition, he released two albums in July 1990: the instrumental jazz trio album Lofty's Roach Souffle and a big-band album of mostly original songs titled We Are in Love, which also went double platinum. We Are in Love earned him his second consecutive Grammy for Best Jazz Male Vocal. "Promise Me You'll Remember", his contribution to the Godfather III soundtrack, was nominated for both an Academy Award and a Golden Globe Award in 1991. In a year of recognition, he was also nominated for an Emmy Award for Best Performance in a Variety Special for his PBS special Swingin' Out Live, which was also released as a video. In October 1991, he released his third consecutive multi-platinum album, Blue Light, Red Light, on which he wrote and arranged the songs. Also in October 1991, he starred in Little Man Tate, directed by Jodie Foster, playing the friend of a child prodigy who goes to college. In November 1992, Connick released 25, a solo piano collection of standards that again went platinum. He also re-released the album Eleven. Connick contributed "A Wink and a Smile" to the Sleepless in Seattle soundtrack, released in 1993. His multi-platinum album of holiday songs, When My Heart Finds Christmas, was the best-selling Christmas album in 1993.

Using a quote from the above article, answer the following question: What song gave him chart success?
"Promise Me You'll Remember", his contribution to the Godfather III soundtrack,