The 27-year-old, whose contract expires at the end of this campaign, has made just one Serie A start this season.
"Either there is a viable plan for him, or he can leave," the player's agent Andrea D'Amico told Tiki Taka.
"Giovinco grew up with Juventus, then went out [to Empoli and Parma] and proved his worth.
"It makes me wonder why people are surprised when he plays well. Who would be interested [if her were to leave]? It's obvious, everyone would be."
A number of top European clubs, including Arsenal and Liverpool, are said to be monitoring developments.