Thanks for starting this thread, @Manjula_Piyumal.
Please note that this discussion forum is for Elastic Cloud Enterprise, which is a different product than Elastic Cloud. To answer your question the Elasticsearch Service, running on Elastic Cloud, allows you to deploy your hosted clusters on AWS, GCP, or Azure.
You can sign up to the service through AWS (or GCP) marketplace using your AWS account, but we can not run the deployment inside your VPC. We do support Private Link, as part of our Private subscription tier, that allows you to securely connect from your VPCs and the service will be exposed via a private IP, similar to other AWS services like Kinesis, CloudWatch, etc.
You are welcome to start a free 14 day trial and take it for a spin, or contact email@example.com if you have further questions.