@Abhishek Singh - I'm glad that you were able to resolve your issue and thank you for posting your solution so that others experiencing the same thing can easily reference this! Since the Microsoft Q&A community has a policy that "The question author cannot accept their own answer. They can only accept answers by others ", I'll repost your solution in case you'd like to accept the answer .
Ask: How can I integrate HubSpot Rest Api linked service in azure synapse?
Solution: The issue is resolved in a different way.
According to the official document, we can copy data from HubSpot using Azure Synapse Analytics or Data Factory, but it does not return all the properties of the data. To get some specific properties use the authentication type as Anonymous instead of OAuth 2.0 (this is the default authentication for HubSpot which is mentioned in the documentation). Create a private app in the HubSpot account with the required scopes you need and get the access token. Use that token in the REST Api linked service with the anonymous authentication type and add the token in header section.
Then connect that linked service with the data integration of the REST Api in your workspace and below the base URL, add your Api endpoint for that property in relative URL section.
Save the data integration and make a copy data activity in the pipeline. Load the source data from the data integration REST resource which you made and sink that into Azure Data Lake Gen2 or your SQL server.
All the properties which match to the URL endpoint will be copied into your server.
If I missed anything please let me know and I'd be happy to add it to my answer, or feel free to comment below with any additional information.
If you have any other questions, please let me know. Thank you again for your time and patience throughout this issue.
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