Hi,
There is no option to monitor the CPU or Memory of API Management service. Suggestion is to use capacity metric for monitoring the usage.
Update:
ok let me step back. If you deploy Developer, Basic, Standard or Premium SKU those are classic tiers. Even if you see platform version stv2. Platform version is different from the SKU. The classic SKUs have only Capacity metric. CPU and Memory metrics are irrelevant for those classic SKUs and will not show any results. If you deploy Basic v2 or Standard v2 (currently there is no Premium v) SKUs you have CPU and Memory metrics. In those SKUs they will show results and Capacity is irrelevant for those SKUs and will show 0. None of the metrics Capacity, CPU or Memory provides information per API no matter the SKU chosen. You can check Requests to drill down on number of requests per APIs.
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