Liverpool's interest in the Korean international is probably just a feeler. But now that Monaco have said they'll let him go, Dalglish needs to up the ante and seriously consider purchasing the forward, as several other teams have been hovering.
I'll admit to not knowing much more about Park Chu-Young than what I've seen on the internet, but there are several positives to acquiring him.
First, Monaco have just been relegated, meaning there will not be an exorbitant fee placed over his head. While FSG have proven willing to spend, there is no need to simply waste money.
Second, he is relatively skilled at a position that lacks depth for our squad. Conor Wickham has been cited as a backup striker option, but with Ngog leaving and Wickham untested in the top tier, I think Park makes a lot of sense.
Finally, he is Korean. This may seem an ancillary reason at best, but it isn't. FSG have stated that they want to move into the Asian market, currently dominated by Manchester United and Park Ji-Sung. This is a good step in the right direction. Asia is a huge market, and more support from their side of the world means more money for transfers down the line.