To export test cases from QTP to QC, you first need to establish QTP-QC connection
1) In QTP , Go to File > Quality Center Connection.
2) Enter QC URL project name/domain/username/password and click on Login. QTP is now connected to QC.
Next you can select the save the QTP Script in QC.
3) In QTP, Select File Menu > Save As > Save in QC
4 ) Select the Folder in QC where you wan to save the QTP Script
6) Click OK to Save.