Take a page from their playbook and give them what’s known as an approach invitation.
Because women are taught not to show too much overt interest, they have a number of non-verbal ways of making themselves approachable and making sure that guys know it’s ok to come over to them – a mix of smiles, body language cues and gestures.
There is a great deal of social programming that warns women against being “that girl” – the pushy, clingy or “desperate” guy-chaser who drives men away, and there are many men who react badly to women who are “too forward”. but Look, there’s no getting around this: if you want to be the sort of guy that women approach, you have to put some effort into your appearance.
You don’t have to look like Michael Ealy or Ian Sommerhalder, but if you’re looking like you rolled out of bed and into whatever happened to be on the floor around you, women aren’t going to be inclined to linger in your presence no matter how hot you are or aren’t.
Averting your eyes or avoiding eye contact tells people that you want to talk to them and will make people avoid you instead.