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In an era of rapid digital transformation, strategic leadership is undergoing a profound shift as organizations increasingly embed algorithmic systems into core decision processes. This managerial perspective article examines leadership in algorithmically mediated organizations, where data-driven systems do not merely support but actively inform, shape, and at times constrain managerial authority. Drawing on recent peer-reviewed scholarship, the analysis highlights how traditional command-and-control models are giving way to hybrid human-algorithm governance arrangements. Key themes include the redistribution of decision authority, the interpretive role of leaders in translating algorithmic outputs into strategic action, and the persistent need for human accountability amid automation. The article identifies critical tensions—such as over-reliance on machine recommendations, conflicts between managerial intuition and algorithmic logic, and diffused responsibility for system-informed outcomes—and proposes a strategic leadership framework centered on algorithmic interpretation capability, structured oversight mechanisms, accountability architectures, judgment integration, and adaptive governance loops. Practical guidance is offered for executives seeking to retain strategic control while harnessing algorithmic efficiencies. Ultimately, effective leadership in these contexts demands new capabilities that elevate managers from decision executors to system orchestrators, ensuring that data-driven authority enhances rather than erodes organizational agility and ethical stewardship. This perspective contributes to digital business and management studies by offering a forward-looking roadmap for navigating the evolving boundary between human judgment and algorithmic mediation.