Dell optiplex 7060 Network card

Since this is a stationary PC platform, yes, you can use ethernet cable for your network connection.  See this OptiPlex 7060 visual guide for ethernet connection port from rear panel of each form factors.

For example, if your OptiPlex 7060 is a micro form factor, your system supports both wired and wireless, with the system communication specification as follows:  

The wired option is:  Intel i219-LM Gigabit Ethernet LAN 10/100/1000, via RJ-45 connector.

The wireless options are:  Qualcomm QCA61x4A Dual-band 2x2 802.11ac Wireless with MU-MIMO + Bluetooth 4.2, or Intel Wireless-AC 9560, Dual-band 2x2 802.11ac Wi-Fi with MU-MIMO + Bluetooth 5.

If you need help with necessary driver(s), disclose the information for wireless adapter with issue.

@Chino de Oro​ Hi Chino , thanks so much for your reply. OK, ethernet is fine. But i don't think i have any wireless drivers / options.  I went earlier to Device Manager and looked in the area mentioned. Is it relatively easy to download one of the wireloss options you mentioned above ?

Yes, it's easy to download the drivers for your Dell computer.  Just need to verify which one do you have and which wireless adapter is installed in the machine.  Have you look at the link from previous post and determine which form factor is your machine?

If you do have a micro form factor, verify in the back to see if there is an antenna connector as #1 in the picture below.

Here is Intel 9560/9260 Wi-Fi Driver.

Here is Qualcomm QCA61x4A/QCA6174A-XR/QCA9377 Wi-Fi and Bluetooth Driver

Here is drivers page for OptiPlex 7060 Micro  https://www.dell.com/support/home/en-us/product-support/product/optiplex-7060-micro/drivers

@Chino de Oro​ Hi Chino, OK, i think that might be the issue.  Mine does not have antenna connector.   I'd better check where I bought it to see if it should have ?

Thanks again.  Yes, no problems via ethernet.