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.
Issue:
Azure data factory calling restapi hosted on app service
Solution:
"It's not possible to achieve this with Managed VNet runtime. Another option is to use SHIR.
We are able to call the REST API successfully with SHIR."
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.
Hope this helps. Do let us know if you have any further queries.
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and Yes
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