green card from asylum travel back to COP

[mustros]

i have a green card from asylum. right now both my parent is sick. my mom had serviks and lung cancer. my dad just got stroke two weeks ago. i want to see them before is too late. now i'm so frustrated because when i go back to COP it will have a problem when i come back to United States. do you guys have any suggestion ?

My travel time is only 3 weeks to 1 month
thank you