CmdLets to Pause, Resume, Scale Azure Fabric Capacities

I couldn't find native commands as you said similar for the PowerBiEmbedded, so I created a request to the Rest API. For this, first you need to create an application to obtain the bearer token. the application must have contribuitor role on the Fabric Capacity.

# Define las credenciales y la URL del endpoint
$clientId = "[Client_ID]"
$clientSecret = "[Secret]"
$tokenEndpoint = "https://login.microsoftonline.com/[tenant_id]/oauth2/token"
$resource = "https://management.azure.com"

# Define el cuerpo de la solicituds
$body = @{
'client_id' = $clientId
'grant_type' = 'client_credentials'
'client_secret' = $clientSecret
'resource' = $resource
}

# Realiza la solicitud POST para obtener el token
$response = Invoke-RestMethod -Uri $tokenEndpoint -Method POST -Body $body -ContentType 'application/x-www-form-urlencoded'

# Extrae el token de acceso de la respuesta
$token = $response.access_token

# Imprime el token de acceso
Write-Output "Token Bearer"

#Realiza el pausado del recurso

Invoke-RestMethod -Method Post -Uri "https://management.azure.com/subscriptions/[Subscription_ID]/resourceGroups/[Resource_Group]/providers/Microsoft.Fabric/capacities/[Fabric_Capacity]/suspend?api-version=2023-11-01" -headers @{'Authorization' = "Bearer $token"}
Write-Output "Fabric Paused"

I hope it works for you. Greetings from Mexico