@MANIGANDAN JAGADEESAN A Unfortunately there is no Azure Synapse connector available to call from logic apps. You can find the list of available connectors here.
SQL connector works only with SQL database and not with Azure Synapse SQL Pool and you can find details on SQL Connector here.
You can always post your ideas, feedback, and feature request in our feedback forum. You can create a new feature request if this is something you want to be supported as logic app connector.
As the workaround, you can refer to Azure Synapse REST API if it can help you with your use case and you can leverage the same using Http connector. Similarly, if there are any CLI or Az commands that can help you can leverage it using Azure Automation Account