It was the first of the four LPs to be released. In response to the album title, Davis said, "After all, that's what we did—came in and cooked."[3]Reid Miles designed the album's cover and Phil Hays provided the illustration.[4]
In a review for AllMusic, Lindsay Planer wrote: "As these recordings demonstrate, there is an undeniable telepathic cohesion that allows this band... to work so efficiently both on the stage and the studio... The immediate yet somewhat understated ability of each musician to react with ingenuity and precision is expressed in the consistency and singularity of each solo as it is maintained from one musician to the next without the slightest deviation."[5]
Chris May of All About Jazz commented: "Cookin' may not have had the big budget and glossy marketing CBS brought to Davis' subsequent releases, but... it contains some of the most alive and moving music he ever recorded... His lyricism remains dark and brooding, but it's so rich it sings."[12]
Writing for The Music Box, John Metzger called the album "essential," stating that it "precisely showcased the ensemble's full range and potential," and praising the "absolutely extraordinary" communication amongst the musicians.[8]