To change the status of a pricing strategy from "In progress" to "Approved", you must click the Approve button on the Edit Pricing Strategy page. The Approve button is only enabled when the pricing strategy is complete and valid. A pricing strategy is complete when it has at least one pricing segment and one pricing rule. A pricing strategy is valid when it has no errors or conflicts1. By clicking the Approve button, you submit the pricing strategy for approval. The approval process depends on the approval life cycle that you have defined for the pricing strategy. The approval life cycle can include one or more approvers, who can approve or reject the pricing strategy. Once the pricing strategy is approved by all the approvers, the status changes to "Approved" and the pricing strategy becomes effective2.
Reference:
How You Modify Pricing Strategies
How You Approve Pricing Strategies