The veteran centre-forward has left Milan for LAFC.
Shevchenko told La Gazzetta dello Sport: "It seems logical to me after Giroud's departure.
"Giroud, a true first striker, also did fabulous things at Milan. Replacing him won't be easy. Without him, we will need another true striker, capable of guaranteeing 16-17 goals.
"The team's problem in recent times has been that of the attackers who score little."
Asked about Chelsea striker Romelu Lukaku being an option, Sheva added: "We know Lukaku's characteristics. As I said, it depends on how the coach intends to play."
On the prospect of Paulo Fonseca taking charge after his exit from Lille was confirmed, he said: "I don't I know whether it's official or not, I can say that Paulo has worked well in Ukraine and has left his mark , I presume."