SOCS3 and melanoma: The dataset describes protein expression of phosphorylated and total signal transducer and activator of transcription 3 (STAT3), protein kinase B (AKT) and suppressor of cytokine signalling 3 (SOCS3) in left ventricular tissue (LV) from healthy and B16F10 melanoma tumour-bearing (B16F10-TM) wildtype (WT) mice, mice with cardiomyocyte-specific constitutively active AKT transgene (AKTtg) and mice with cardiomyocyte-restricted deletion of STAT3 (CKO) analysed in Western blot and/or fluorescence microscopy experiments.