Long term prognosis of cardiogenic shock is related to the resolution of haemodynamic failure, associated visceral failure and the recovery of an adequate myocardial function. In the immediate aftermath of cardiogenic shock, after catecholamines weaning, there are no recommendations on cardiovascular treatments that would improve this long term prognosis. Indeed, the standard cardiovascular treatments such as inhibitors of the renin-angiotensin and aldosterone system and beta-blockers have hypotensive and negative inotropic effects and may worsen the renal function. In practice, given their side effects, they are not prescribed in the immediate aftermath of cardiogenic shock. Sodium-glucose co-transporter 2 (iSGLT2) inhibitors are now an integral part of the drug management of chronic heart failure and the EMPULSE-HF trial has just demonstrated a benefit in acute heart failure (PMID: 35228754). Several pivotal clinical trials have demonstrated a significant effect of iSGLT2 on the survival and the risk of re hospitalisation for heart failure (PMID: 32865377, 31535829, 33200892). Our hypothesis is that, in patients in cardiogenic shock, early treatment with Empaglifozin in addition to the standard management could reduce mortality and morbidity (death, transplantation/LVAD and rehospitalisation for heart failure) and improve myocardial function at 12 weeks, compared with standard management alone.