The Catalan giants added Uruguay forward Suarez to their ranks after sealing an €88 million move from Liverpool earlier in July, while Neymar was brought on board to partner Messi last summer.
Ten Cate - who previously worked as an assistant under Frank Rijkaard at Camp Nou - believes that Suarez’s addition to the team will give the club a fearsome attack, but only if he gels well with Messi and Neymar.
"Messi, Suarez and Neymar are three very good players. They are stars and can make the difference," he told Mundo Deportivo.
"They're great players with a lot of fame. The most important thing though is that all three understand each other."
Barcelona only won the Supercopa de Espana last season as rivals Real Madrid clinched their 10th Champions League crown and the Copa del Rey title, while Atletico Madrid were named 2013-14 league winners.
With the side being led next term by former B team coach Luis Enrique, Ten Cate has insisted that supporters need to have patience in the trainer and has no doubt that the Spaniard will steer Barca back to winning ways.
"Luis Enrique needs time and hopefully he will get time, because I have a good feeling about him," he said. "He's a coach I have seen with a lot of desire and who is very strong."