Employer A sponsored my H1B visa and I have I-797 document and H1 stamping from employer A. Later Employer B filed cap exempt pitetion for me and have I-797 from employer B.
Now I have I-797 & H1B stamping from employer A and Only I-797 from employer B.
Now I joining and planning to travel for employer B
But employer A, asking me to surrender I-797 document to get release.
H1 stamping from A is valid upto June 2017
Is it OK to surrender I-797 document to employer A?
Is that OK to travel for employer B having I-797 from B and H1 stamping from A?
Will there be any questions at Port of entry asking about original I-797 from A?
Will there be any issues in future by not having the I-797 from A?