Hi,
Your menu is too wide, and in general there no space for extra module.
I see those options:
- Remove Search icon and publish Language Module in "Menu" position. Or the same position as you have "Search" icon now.
 
- Logo column reduce size from 2 to 1. And add extra +1 to menu column. I mean, change header grid. Then will be more space for extra module in "menu" position.
 
- Use Sticky Module and publish Language flag module at the right or left screen side.
 
- Make header a  wider, not in default container like you have now, and there will be more space for extra modules in desktop and laptop view. Example:
 
@media screen and (min-width: 1360px) {
#sp-header > .container {max-width: 1320px;}
}
@media screen and (min-width: 1240px) {
#sp-header > .container {max-width: 1220px;}
}
#sp-menu {padding-left: 0;}
Probably, there are other ideas; as an experienced webmaster, think out the box.