The Hollywood actress and the Coldplay frontman announced their split in a post on Paltrow's lifestyle website Goop.com on Tuesday (25Mar14), and on Friday (28Mar14) Paltrow took to the site again to thank well-wishers for their support.
Alongside a post about a chicken recipe, she writes, "P.S. Cm (Chris Martin) and I in deep gratitude for the support of so many."
The couple revealed on Tuesday that they had decided to separate after years of working to save their marriage, but insisted they remain good friends and would be co-parenting their two children Apple, nine, and Moses, seven.
Paltrow and Martin married in 2003.