"It'll be hard for some to stay on", he told TyC Sports.
The 33-year-old, whose contract runs out in the summer of 2019, is believed to be considering his options and there will be no shortage of clubs eager to acquire his services.
Higuain lost his place to Inter Milan's Mauro Icardi and Boca Juniors' Dario Benedetto for Argentina's final matches in the South American World Cup qualifiers under coach Jorge Sampaoli. But it's true that we have to improve if we aspire to be world champions.
One player who has already announced his intention to end his Argentina career after the World Cup is Messi's Barcelona team-mate Javier Mascherano. As we are today, we are not far from that although there are better teams than us such as Brazil, Germany, France and Spain.
Argentina, who reached the final in 2014, struggled during qualification for Russian Federation, going through three coaches before securing their place at the tournament thanks to a Messi hat-trick in a 3-1 win away to Ecuador in the final qualifier.
The 30-year-old Barcelona forward is still seeking his first senior trophy with the Albiceleste, having come painfully close in the past three and a half years as a losing finalist in the 2014 World Cup, 2015 Copa America and 2016 Copa America.
"It's nice to see how different they are from each other".
He said that media criticism has created a culture of fear within the squad.
"The bitterness we feel is because we know what's coming if things don't go well for us".