People with kidney disease should not avoid olive oil, olive oil is considered beneficial to those with kidney disease, states MedlinePlus. Olive oil is an unsaturated fat, which is considered the healthy type of fat.
Saturated and trans-fatty acids should be avoided for those with kidney disease, states the Kidney and Urology Foundation of America. Sources of these fats include red meat, whole milk, poultry, butter and lard. Conversely, sources of unsaturated fats include safflower, peanut, corn and canola oil.
Unsaturated fats are considered unsaturated because they have one or more double bonds, states Science Daily. Saturated fats are considered saturated because there are no double bonds, and they have the maximum number of hydrogen atoms bonded to each carbon atom.