POMEGRANATE Avoid the whole fruit which is high in oxalates. Memorial Sloan-Kettering Cancer Center indicates that pomegranate might not be a good mix with statin medications. If you avoid grapefruit juice with certain medications, also exclude drinking pomegranate juice. Caution with PLD, the ↑ in phytoestrogens might cause an increase of liver cyst size. There has been no evidence of this to date.