Giggs won a new deal from United manager Sir Alex Ferguson last week.
And Given wrote in the Irish Sun: "Ferguson is ruthless and will only keep players he believes still play a part — and he decided Giggs deserved a new contract.
"He did not get that on Friday because of past glories, he got it because he is still an important member of Alex Ferguson’s squad.
"The last few years, his form has still been excellent and he still plays a lot of the big games too. He is not brought in when others are rested, Giggs is still one of the players Ferguson looks to in the important matches."