The centre-half is aware that Louis van Gaal's men are a great threat on the break but sees no reason why los Ticos should fear their World Cup 2014 quarter-final opponents
The Dutch kicked off their World Cup campaign by routing the reigning champions 5-1 in Salvador, with Arjen Robben and Co. repeatedly hitting Vicente del Bosque's men on the break to devastating effect.
However, Acosta said that they will not be as susceptible to Netherlands' ability to turn defence into attack when they meet in the quarter-final.
"We're not scared of them at all," the centre-half told reporters at Arena Fonte Nova on Friday. "In Costa Rica we always say that worse things happen at sea, so we're not worried.
"Many goals were scored against Spain because Netherlands' counterattacks were so strong and fast.
"[Spain] were not prepared for that but we are. We're not scored of anything or anyone.
"We're very motivated. We're very happy to be here and we want to continue writing history for our country.
"We're going to play a very difficult rival. We know that. But still, we keep calm. We keep focused.
"Either side could win. After 90 or 120 minutes we'll see what happens. Let's just hope the best team wins."