Implant dentistry is a highly skilled field that needs specialized training. You should look for a dentist who is competent, reliable and experienced in his field.
The dentist you choose should be qualified with the required degrees in dentistry and implants dentistry or be trained in that field. They should also have acquired training in the field of implants. An experienced person should have done a reasonable number of tooth implants with fair amount of success.
Any dentist can do teeth implants. But, you need to look for an experienced and trained person for two very important reasons
1. To avoid any complications in the first place
2. If complications arise then he / she will know to handle it right and fix it too.
An inexperienced, unqualified, incompetent dentist can completely mess up your mouth and cause problems that probably can't be fixed. Some people have lost all their teeth, ended up with broken jaws, lost their sense of taste and much more due to bad implant jobs. You don't want to end up like that.
So, research and find an Implants expert in your area who meets all the criteria. Your local yellow pages directory is good starting point. Phone implant center offices and get the names of some references. Talk to the other patients and find out if they good experience in the dentist's office. You can also talk to your friends and colleagues and get references to good implant experts that they know of.
Remember there is a good reason for the higher success rate of "experienced" implant dentist than a rookie implant dentist.